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Finding the Third Proportional to 126,630 and 295,839

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Solution

The third proportional to 126,630 and 295,839 is: 691,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,630 : 295,839 = 295,839 : x
  2. Step 2: Convert to fraction form
    126,630/295,839 = 295,839/x
  3. Step 3: Cross multiply
    126,630x = 295,839 × 295,839
  4. Step 4: Simplify right side
    126,630x = 87,520,713,921
  5. Step 5: Solve for x
    x = 87,520,713,921/126,630
  6. Step 6: Final answer
    x = 691,153.08

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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.