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Finding the Third Proportional to 266,097.66 and 413,160.75

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Solution

The third proportional to 266,097.66 and 413,160.75 is: 641,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,097.66 : 413,160.75 = 413,160.75 : x
  2. Step 2: Convert to fraction form
    266,097.66/413,160.75 = 413,160.75/x
  3. Step 3: Cross multiply
    266,097.66x = 413,160.75 × 413,160.75
  4. Step 4: Simplify right side
    266,097.66x = 170,701,805,340.56
  5. Step 5: Solve for x
    x = 170,701,805,340.56/266,097.66
  6. Step 6: Final answer
    x = 641,500.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.