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Finding the Third Proportional to 132,202.13 and 280,233.84

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Solution

The third proportional to 132,202.13 and 280,233.84 is: 594,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,202.13 : 280,233.84 = 280,233.84 : x
  2. Step 2: Convert to fraction form
    132,202.13/280,233.84 = 280,233.84/x
  3. Step 3: Cross multiply
    132,202.13x = 280,233.84 × 280,233.84
  4. Step 4: Simplify right side
    132,202.13x = 78,531,007,182.90
  5. Step 5: Solve for x
    x = 78,531,007,182.90/132,202.13
  6. Step 6: Final answer
    x = 594,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.