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Finding the Third Proportional to 178,644 and 284,366

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Solution

The third proportional to 178,644 and 284,366 is: 452,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,644 : 284,366 = 284,366 : x
  2. Step 2: Convert to fraction form
    178,644/284,366 = 284,366/x
  3. Step 3: Cross multiply
    178,644x = 284,366 × 284,366
  4. Step 4: Simplify right side
    178,644x = 80,864,021,956
  5. Step 5: Solve for x
    x = 80,864,021,956/178,644
  6. Step 6: Final answer
    x = 452,654.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.