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Finding the Third Proportional to 136,046.75 and 317,691.75

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Solution

The third proportional to 136,046.75 and 317,691.75 is: 741,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,046.75 : 317,691.75 = 317,691.75 : x
  2. Step 2: Convert to fraction form
    136,046.75/317,691.75 = 317,691.75/x
  3. Step 3: Cross multiply
    136,046.75x = 317,691.75 × 317,691.75
  4. Step 4: Simplify right side
    136,046.75x = 100,928,048,018.06
  5. Step 5: Solve for x
    x = 100,928,048,018.06/136,046.75
  6. Step 6: Final answer
    x = 741,862.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.