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Finding the Third Proportional to 112,197 and 247,713

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Solution

The third proportional to 112,197 and 247,713 is: 546,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,197 : 247,713 = 247,713 : x
  2. Step 2: Convert to fraction form
    112,197/247,713 = 247,713/x
  3. Step 3: Cross multiply
    112,197x = 247,713 × 247,713
  4. Step 4: Simplify right side
    112,197x = 61,361,730,369
  5. Step 5: Solve for x
    x = 61,361,730,369/112,197
  6. Step 6: Final answer
    x = 546,910.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.