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Finding the Third Proportional to 171,177.75 and 266,105.25

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Solution

The third proportional to 171,177.75 and 266,105.25 is: 413,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,177.75 : 266,105.25 = 266,105.25 : x
  2. Step 2: Convert to fraction form
    171,177.75/266,105.25 = 266,105.25/x
  3. Step 3: Cross multiply
    171,177.75x = 266,105.25 × 266,105.25
  4. Step 4: Simplify right side
    171,177.75x = 70,812,004,077.56
  5. Step 5: Solve for x
    x = 70,812,004,077.56/171,177.75
  6. Step 6: Final answer
    x = 413,675.28

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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.