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Finding the Third Proportional to 102,274 and 218,762

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Solution

The third proportional to 102,274 and 218,762 is: 467,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,274 : 218,762 = 218,762 : x
  2. Step 2: Convert to fraction form
    102,274/218,762 = 218,762/x
  3. Step 3: Cross multiply
    102,274x = 218,762 × 218,762
  4. Step 4: Simplify right side
    102,274x = 47,856,812,644
  5. Step 5: Solve for x
    x = 47,856,812,644/102,274
  6. Step 6: Final answer
    x = 467,927.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.