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Finding the Third Proportional to 177,414 and 387,606

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Solution

The third proportional to 177,414 and 387,606 is: 846,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,414 : 387,606 = 387,606 : x
  2. Step 2: Convert to fraction form
    177,414/387,606 = 387,606/x
  3. Step 3: Cross multiply
    177,414x = 387,606 × 387,606
  4. Step 4: Simplify right side
    177,414x = 150,238,411,236
  5. Step 5: Solve for x
    x = 150,238,411,236/177,414
  6. Step 6: Final answer
    x = 846,823.88

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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.