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Finding the Third Proportional to 180,882 and 392,902

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Solution

The third proportional to 180,882 and 392,902 is: 853,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,882 : 392,902 = 392,902 : x
  2. Step 2: Convert to fraction form
    180,882/392,902 = 392,902/x
  3. Step 3: Cross multiply
    180,882x = 392,902 × 392,902
  4. Step 4: Simplify right side
    180,882x = 154,371,981,604
  5. Step 5: Solve for x
    x = 154,371,981,604/180,882
  6. Step 6: Final answer
    x = 853,440.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.