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Finding the Third Proportional to 224,098 and 482,180

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Solution

The third proportional to 224,098 and 482,180 is: 1,037,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,098 : 482,180 = 482,180 : x
  2. Step 2: Convert to fraction form
    224,098/482,180 = 482,180/x
  3. Step 3: Cross multiply
    224,098x = 482,180 × 482,180
  4. Step 4: Simplify right side
    224,098x = 232,497,552,400
  5. Step 5: Solve for x
    x = 232,497,552,400/224,098
  6. Step 6: Final answer
    x = 1,037,481.60

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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.