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Finding the Third Proportional to 177,294 and 379,494

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Solution

The third proportional to 177,294 and 379,494 is: 812,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,294 : 379,494 = 379,494 : x
  2. Step 2: Convert to fraction form
    177,294/379,494 = 379,494/x
  3. Step 3: Cross multiply
    177,294x = 379,494 × 379,494
  4. Step 4: Simplify right side
    177,294x = 144,015,696,036
  5. Step 5: Solve for x
    x = 144,015,696,036/177,294
  6. Step 6: Final answer
    x = 812,298.76

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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.