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Finding the Third Proportional to 101,442 and 223,134

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Solution

The third proportional to 101,442 and 223,134 is: 490,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442 : 223,134 = 223,134 : x
  2. Step 2: Convert to fraction form
    101,442/223,134 = 223,134/x
  3. Step 3: Cross multiply
    101,442x = 223,134 × 223,134
  4. Step 4: Simplify right side
    101,442x = 49,788,781,956
  5. Step 5: Solve for x
    x = 49,788,781,956/101,442
  6. Step 6: Final answer
    x = 490,810.33

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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.