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Finding the Third Proportional to 224,252 and 347,586

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Solution

The third proportional to 224,252 and 347,586 is: 538,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,252 : 347,586 = 347,586 : x
  2. Step 2: Convert to fraction form
    224,252/347,586 = 347,586/x
  3. Step 3: Cross multiply
    224,252x = 347,586 × 347,586
  4. Step 4: Simplify right side
    224,252x = 120,816,027,396
  5. Step 5: Solve for x
    x = 120,816,027,396/224,252
  6. Step 6: Final answer
    x = 538,751.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.