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Finding the Third Proportional to 140,539 and 224,781

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Solution

The third proportional to 140,539 and 224,781 is: 359,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,539 : 224,781 = 224,781 : x
  2. Step 2: Convert to fraction form
    140,539/224,781 = 224,781/x
  3. Step 3: Cross multiply
    140,539x = 224,781 × 224,781
  4. Step 4: Simplify right side
    140,539x = 50,526,497,961
  5. Step 5: Solve for x
    x = 50,526,497,961/140,539
  6. Step 6: Final answer
    x = 359,519.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.