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Finding the Third Proportional to 172,034.03 and 371,747.29

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Solution

The third proportional to 172,034.03 and 371,747.29 is: 803,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,034.03 : 371,747.29 = 371,747.29 : x
  2. Step 2: Convert to fraction form
    172,034.03/371,747.29 = 371,747.29/x
  3. Step 3: Cross multiply
    172,034.03x = 371,747.29 × 371,747.29
  4. Step 4: Simplify right side
    172,034.03x = 138,196,044,021.04
  5. Step 5: Solve for x
    x = 138,196,044,021.04/172,034.03
  6. Step 6: Final answer
    x = 803,306.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.