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Finding the Third Proportional to 112,649 and 244,897

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Solution

The third proportional to 112,649 and 244,897 is: 532,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,649 : 244,897 = 244,897 : x
  2. Step 2: Convert to fraction form
    112,649/244,897 = 244,897/x
  3. Step 3: Cross multiply
    112,649x = 244,897 × 244,897
  4. Step 4: Simplify right side
    112,649x = 59,974,540,609
  5. Step 5: Solve for x
    x = 59,974,540,609/112,649
  6. Step 6: Final answer
    x = 532,401.89

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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.