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Finding the Third Proportional to 136,262.25 and 278,049.38

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Solution

The third proportional to 136,262.25 and 278,049.38 is: 567,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,262.25 : 278,049.38 = 278,049.38 : x
  2. Step 2: Convert to fraction form
    136,262.25/278,049.38 = 278,049.38/x
  3. Step 3: Cross multiply
    136,262.25x = 278,049.38 × 278,049.38
  4. Step 4: Simplify right side
    136,262.25x = 77,311,454,937.89
  5. Step 5: Solve for x
    x = 77,311,454,937.89/136,262.25
  6. Step 6: Final answer
    x = 567,372.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.