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Finding the Third Proportional to 188,248.50 and 279,132.75

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Solution

The third proportional to 188,248.50 and 279,132.75 is: 413,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,248.50 : 279,132.75 = 279,132.75 : x
  2. Step 2: Convert to fraction form
    188,248.50/279,132.75 = 279,132.75/x
  3. Step 3: Cross multiply
    188,248.50x = 279,132.75 × 279,132.75
  4. Step 4: Simplify right side
    188,248.50x = 77,915,092,122.56
  5. Step 5: Solve for x
    x = 77,915,092,122.56/188,248.50
  6. Step 6: Final answer
    x = 413,894.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.