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Finding the Third Proportional to 175,374 and 386,496

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Solution

The third proportional to 175,374 and 386,496 is: 851,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,374 : 386,496 = 386,496 : x
  2. Step 2: Convert to fraction form
    175,374/386,496 = 386,496/x
  3. Step 3: Cross multiply
    175,374x = 386,496 × 386,496
  4. Step 4: Simplify right side
    175,374x = 149,379,158,016
  5. Step 5: Solve for x
    x = 149,379,158,016/175,374
  6. Step 6: Final answer
    x = 851,774.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.