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Finding the Third Proportional to 135,942.75 and 291,575.25

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Solution

The third proportional to 135,942.75 and 291,575.25 is: 625,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,942.75 : 291,575.25 = 291,575.25 : x
  2. Step 2: Convert to fraction form
    135,942.75/291,575.25 = 291,575.25/x
  3. Step 3: Cross multiply
    135,942.75x = 291,575.25 × 291,575.25
  4. Step 4: Simplify right side
    135,942.75x = 85,016,126,412.56
  5. Step 5: Solve for x
    x = 85,016,126,412.56/135,942.75
  6. Step 6: Final answer
    x = 625,381.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.