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Finding the Third Proportional to 132,588 and 288,496

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Solution

The third proportional to 132,588 and 288,496 is: 627,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,588 : 288,496 = 288,496 : x
  2. Step 2: Convert to fraction form
    132,588/288,496 = 288,496/x
  3. Step 3: Cross multiply
    132,588x = 288,496 × 288,496
  4. Step 4: Simplify right side
    132,588x = 83,229,942,016
  5. Step 5: Solve for x
    x = 83,229,942,016/132,588
  6. Step 6: Final answer
    x = 627,733.60

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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.