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Finding the Third Proportional to 177,581 and 268,214

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Solution

The third proportional to 177,581 and 268,214 is: 405,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,581 : 268,214 = 268,214 : x
  2. Step 2: Convert to fraction form
    177,581/268,214 = 268,214/x
  3. Step 3: Cross multiply
    177,581x = 268,214 × 268,214
  4. Step 4: Simplify right side
    177,581x = 71,938,749,796
  5. Step 5: Solve for x
    x = 71,938,749,796/177,581
  6. Step 6: Final answer
    x = 405,103.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.