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Finding the Third Proportional to 178,281 and 388,542

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Solution

The third proportional to 178,281 and 388,542 is: 846,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,281 : 388,542 = 388,542 : x
  2. Step 2: Convert to fraction form
    178,281/388,542 = 388,542/x
  3. Step 3: Cross multiply
    178,281x = 388,542 × 388,542
  4. Step 4: Simplify right side
    178,281x = 150,964,885,764
  5. Step 5: Solve for x
    x = 150,964,885,764/178,281
  6. Step 6: Final answer
    x = 846,780.56

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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.