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Finding the Third Proportional to 177,730 and 379,940

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Solution

The third proportional to 177,730 and 379,940 is: 812,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,730 : 379,940 = 379,940 : x
  2. Step 2: Convert to fraction form
    177,730/379,940 = 379,940/x
  3. Step 3: Cross multiply
    177,730x = 379,940 × 379,940
  4. Step 4: Simplify right side
    177,730x = 144,354,403,600
  5. Step 5: Solve for x
    x = 144,354,403,600/177,730
  6. Step 6: Final answer
    x = 812,211.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.