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Finding the Third Proportional to 101,982 and 224,156

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Solution

The third proportional to 101,982 and 224,156 is: 492,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,982 : 224,156 = 224,156 : x
  2. Step 2: Convert to fraction form
    101,982/224,156 = 224,156/x
  3. Step 3: Cross multiply
    101,982x = 224,156 × 224,156
  4. Step 4: Simplify right side
    101,982x = 50,245,912,336
  5. Step 5: Solve for x
    x = 50,245,912,336/101,982
  6. Step 6: Final answer
    x = 492,693.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.