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Finding the Third Proportional to 132,800 and 288,784

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Solution

The third proportional to 132,800 and 288,784 is: 627,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,800 : 288,784 = 288,784 : x
  2. Step 2: Convert to fraction form
    132,800/288,784 = 288,784/x
  3. Step 3: Cross multiply
    132,800x = 288,784 × 288,784
  4. Step 4: Simplify right side
    132,800x = 83,396,198,656
  5. Step 5: Solve for x
    x = 83,396,198,656/132,800
  6. Step 6: Final answer
    x = 627,983.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.