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Finding the Third Proportional to 181,686.38 and 424,372.50

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Solution

The third proportional to 181,686.38 and 424,372.50 is: 991,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,686.38 : 424,372.50 = 424,372.50 : x
  2. Step 2: Convert to fraction form
    181,686.38/424,372.50 = 424,372.50/x
  3. Step 3: Cross multiply
    181,686.38x = 424,372.50 × 424,372.50
  4. Step 4: Simplify right side
    181,686.38x = 180,092,018,756.25
  5. Step 5: Solve for x
    x = 180,092,018,756.25/181,686.38
  6. Step 6: Final answer
    x = 991,224.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.