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Finding the Third Proportional to 140,377.50 and 299,418.75

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Solution

The third proportional to 140,377.50 and 299,418.75 is: 638,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,377.50 : 299,418.75 = 299,418.75 : x
  2. Step 2: Convert to fraction form
    140,377.50/299,418.75 = 299,418.75/x
  3. Step 3: Cross multiply
    140,377.50x = 299,418.75 × 299,418.75
  4. Step 4: Simplify right side
    140,377.50x = 89,651,587,851.56
  5. Step 5: Solve for x
    x = 89,651,587,851.56/140,377.50
  6. Step 6: Final answer
    x = 638,646.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.