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Finding the Third Proportional to 172,046.50 and 404,839

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Solution

The third proportional to 172,046.50 and 404,839 is: 952,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046.50 : 404,839 = 404,839 : x
  2. Step 2: Convert to fraction form
    172,046.50/404,839 = 404,839/x
  3. Step 3: Cross multiply
    172,046.50x = 404,839 × 404,839
  4. Step 4: Simplify right side
    172,046.50x = 163,894,615,921
  5. Step 5: Solve for x
    x = 163,894,615,921/172,046.50
  6. Step 6: Final answer
    x = 952,618.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.