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Finding the Third Proportional to 129.38 and 277.88

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Solution

The third proportional to 129.38 and 277.88 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.38 : 277.88 = 277.88 : x
  2. Step 2: Convert to fraction form
    129.38/277.88 = 277.88/x
  3. Step 3: Cross multiply
    129.38x = 277.88 × 277.88
  4. Step 4: Simplify right side
    129.38x = 77,214.52
  5. Step 5: Solve for x
    x = 77,214.52/129.38
  6. Step 6: Final answer
    x = 596.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.