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Finding the Third Proportional to 177,529 and 387,566

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Solution

The third proportional to 177,529 and 387,566 is: 846,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,529 : 387,566 = 387,566 : x
  2. Step 2: Convert to fraction form
    177,529/387,566 = 387,566/x
  3. Step 3: Cross multiply
    177,529x = 387,566 × 387,566
  4. Step 4: Simplify right side
    177,529x = 150,207,404,356
  5. Step 5: Solve for x
    x = 150,207,404,356/177,529
  6. Step 6: Final answer
    x = 846,100.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.