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Finding the Third Proportional to 132,993 and 288,591

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Solution

The third proportional to 132,993 and 288,591 is: 626,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,993 : 288,591 = 288,591 : x
  2. Step 2: Convert to fraction form
    132,993/288,591 = 288,591/x
  3. Step 3: Cross multiply
    132,993x = 288,591 × 288,591
  4. Step 4: Simplify right side
    132,993x = 83,284,765,281
  5. Step 5: Solve for x
    x = 83,284,765,281/132,993
  6. Step 6: Final answer
    x = 626,234.20

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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.