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Finding the Third Proportional to 120,934 and 282,397

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Solution

The third proportional to 120,934 and 282,397 is: 659,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,934 : 282,397 = 282,397 : x
  2. Step 2: Convert to fraction form
    120,934/282,397 = 282,397/x
  3. Step 3: Cross multiply
    120,934x = 282,397 × 282,397
  4. Step 4: Simplify right side
    120,934x = 79,748,065,609
  5. Step 5: Solve for x
    x = 79,748,065,609/120,934
  6. Step 6: Final answer
    x = 659,434.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.