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Finding the Third Proportional to 181,697.55 and 424,380.52

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Solution

The third proportional to 181,697.55 and 424,380.52 is: 991,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,697.55 : 424,380.52 = 424,380.52 : x
  2. Step 2: Convert to fraction form
    181,697.55/424,380.52 = 424,380.52/x
  3. Step 3: Cross multiply
    181,697.55x = 424,380.52 × 424,380.52
  4. Step 4: Simplify right side
    181,697.55x = 180,098,822,042.14
  5. Step 5: Solve for x
    x = 180,098,822,042.14/181,697.55
  6. Step 6: Final answer
    x = 991,201.13

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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.