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Finding the Third Proportional to 102,270 and 223,134

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Solution

The third proportional to 102,270 and 223,134 is: 486,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,270 : 223,134 = 223,134 : x
  2. Step 2: Convert to fraction form
    102,270/223,134 = 223,134/x
  3. Step 3: Cross multiply
    102,270x = 223,134 × 223,134
  4. Step 4: Simplify right side
    102,270x = 49,788,781,956
  5. Step 5: Solve for x
    x = 49,788,781,956/102,270
  6. Step 6: Final answer
    x = 486,836.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.