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Finding the Third Proportional to 113,197 and 243,782

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Solution

The third proportional to 113,197 and 243,782 is: 525,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,197 : 243,782 = 243,782 : x
  2. Step 2: Convert to fraction form
    113,197/243,782 = 243,782/x
  3. Step 3: Cross multiply
    113,197x = 243,782 × 243,782
  4. Step 4: Simplify right side
    113,197x = 59,429,663,524
  5. Step 5: Solve for x
    x = 59,429,663,524/113,197
  6. Step 6: Final answer
    x = 525,010.94

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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.