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Finding the Third Proportional to 178,641 and 386,442

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Solution

The third proportional to 178,641 and 386,442 is: 835,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,641 : 386,442 = 386,442 : x
  2. Step 2: Convert to fraction form
    178,641/386,442 = 386,442/x
  3. Step 3: Cross multiply
    178,641x = 386,442 × 386,442
  4. Step 4: Simplify right side
    178,641x = 149,337,419,364
  5. Step 5: Solve for x
    x = 149,337,419,364/178,641
  6. Step 6: Final answer
    x = 835,963.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.