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Finding the Third Proportional to 177,310.69 and 266,149.13

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Solution

The third proportional to 177,310.69 and 266,149.13 is: 399,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,310.69 : 266,149.13 = 266,149.13 : x
  2. Step 2: Convert to fraction form
    177,310.69/266,149.13 = 266,149.13/x
  3. Step 3: Cross multiply
    177,310.69x = 266,149.13 × 266,149.13
  4. Step 4: Simplify right side
    177,310.69x = 70,835,356,738.27
  5. Step 5: Solve for x
    x = 70,835,356,738.27/177,310.69
  6. Step 6: Final answer
    x = 399,498.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.