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Finding the Third Proportional to 200,671.31 and 275,171.91

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Solution

The third proportional to 200,671.31 and 275,171.91 is: 377,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,671.31 : 275,171.91 = 275,171.91 : x
  2. Step 2: Convert to fraction form
    200,671.31/275,171.91 = 275,171.91/x
  3. Step 3: Cross multiply
    200,671.31x = 275,171.91 × 275,171.91
  4. Step 4: Simplify right side
    200,671.31x = 75,719,577,989.26
  5. Step 5: Solve for x
    x = 75,719,577,989.26/200,671.31
  6. Step 6: Final answer
    x = 377,331.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.