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Finding the Third Proportional to 101,976 and 224,141

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Solution

The third proportional to 101,976 and 224,141 is: 492,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,976 : 224,141 = 224,141 : x
  2. Step 2: Convert to fraction form
    101,976/224,141 = 224,141/x
  3. Step 3: Cross multiply
    101,976x = 224,141 × 224,141
  4. Step 4: Simplify right side
    101,976x = 50,239,187,881
  5. Step 5: Solve for x
    x = 50,239,187,881/101,976
  6. Step 6: Final answer
    x = 492,656.98

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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.