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Finding the Third Proportional to 200,544 and 267,624

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Solution

The third proportional to 200,544 and 267,624 is: 357,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,544 : 267,624 = 267,624 : x
  2. Step 2: Convert to fraction form
    200,544/267,624 = 267,624/x
  3. Step 3: Cross multiply
    200,544x = 267,624 × 267,624
  4. Step 4: Simplify right side
    200,544x = 71,622,605,376
  5. Step 5: Solve for x
    x = 71,622,605,376/200,544
  6. Step 6: Final answer
    x = 357,141.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.