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Finding the Third Proportional to 200,304.75 and 267,555

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Solution

The third proportional to 200,304.75 and 267,555 is: 357,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,304.75 : 267,555 = 267,555 : x
  2. Step 2: Convert to fraction form
    200,304.75/267,555 = 267,555/x
  3. Step 3: Cross multiply
    200,304.75x = 267,555 × 267,555
  4. Step 4: Simplify right side
    200,304.75x = 71,585,678,025
  5. Step 5: Solve for x
    x = 71,585,678,025/200,304.75
  6. Step 6: Final answer
    x = 357,383.83

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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.