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Finding the Third Proportional to 200,272.50 and 267,522.75

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Solution

The third proportional to 200,272.50 and 267,522.75 is: 357,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,272.50 : 267,522.75 = 267,522.75 : x
  2. Step 2: Convert to fraction form
    200,272.50/267,522.75 = 267,522.75/x
  3. Step 3: Cross multiply
    200,272.50x = 267,522.75 × 267,522.75
  4. Step 4: Simplify right side
    200,272.50x = 71,568,421,767.56
  5. Step 5: Solve for x
    x = 71,568,421,767.56/200,272.50
  6. Step 6: Final answer
    x = 357,355.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.