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Finding the Third Proportional to 116,691.38 and 255,972.75

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Solution

The third proportional to 116,691.38 and 255,972.75 is: 561,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,691.38 : 255,972.75 = 255,972.75 : x
  2. Step 2: Convert to fraction form
    116,691.38/255,972.75 = 255,972.75/x
  3. Step 3: Cross multiply
    116,691.38x = 255,972.75 × 255,972.75
  4. Step 4: Simplify right side
    116,691.38x = 65,522,048,742.56
  5. Step 5: Solve for x
    x = 65,522,048,742.56/116,691.38
  6. Step 6: Final answer
    x = 561,498.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.