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Finding the Third Proportional to 132,399.75 and 291,522.75

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Solution

The third proportional to 132,399.75 and 291,522.75 is: 641,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,399.75 : 291,522.75 = 291,522.75 : x
  2. Step 2: Convert to fraction form
    132,399.75/291,522.75 = 291,522.75/x
  3. Step 3: Cross multiply
    132,399.75x = 291,522.75 × 291,522.75
  4. Step 4: Simplify right side
    132,399.75x = 84,985,513,767.56
  5. Step 5: Solve for x
    x = 84,985,513,767.56/132,399.75
  6. Step 6: Final answer
    x = 641,885.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.