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Finding the Third Proportional to 132,396 and 288,120

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Solution

The third proportional to 132,396 and 288,120 is: 627,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,396 : 288,120 = 288,120 : x
  2. Step 2: Convert to fraction form
    132,396/288,120 = 288,120/x
  3. Step 3: Cross multiply
    132,396x = 288,120 × 288,120
  4. Step 4: Simplify right side
    132,396x = 83,013,134,400
  5. Step 5: Solve for x
    x = 83,013,134,400/132,396
  6. Step 6: Final answer
    x = 627,006.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.