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Finding the Third Proportional to 224,799 and 247,215

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Solution

The third proportional to 224,799 and 247,215 is: 271,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,799 : 247,215 = 247,215 : x
  2. Step 2: Convert to fraction form
    224,799/247,215 = 247,215/x
  3. Step 3: Cross multiply
    224,799x = 247,215 × 247,215
  4. Step 4: Simplify right side
    224,799x = 61,115,256,225
  5. Step 5: Solve for x
    x = 61,115,256,225/224,799
  6. Step 6: Final answer
    x = 271,866.23

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.