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Finding the Third Proportional to 109,471 and 235,825

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Solution

The third proportional to 109,471 and 235,825 is: 508,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471 : 235,825 = 235,825 : x
  2. Step 2: Convert to fraction form
    109,471/235,825 = 235,825/x
  3. Step 3: Cross multiply
    109,471x = 235,825 × 235,825
  4. Step 4: Simplify right side
    109,471x = 55,613,430,625
  5. Step 5: Solve for x
    x = 55,613,430,625/109,471
  6. Step 6: Final answer
    x = 508,019.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.