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Finding the Third Proportional to 175,692 and 386,372

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Solution

The third proportional to 175,692 and 386,372 is: 849,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,692 : 386,372 = 386,372 : x
  2. Step 2: Convert to fraction form
    175,692/386,372 = 386,372/x
  3. Step 3: Cross multiply
    175,692x = 386,372 × 386,372
  4. Step 4: Simplify right side
    175,692x = 149,283,322,384
  5. Step 5: Solve for x
    x = 149,283,322,384/175,692
  6. Step 6: Final answer
    x = 849,687.65

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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.