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Finding the Third Proportional to 131,769 and 204,214

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Solution

The third proportional to 131,769 and 204,214 is: 316,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,769 : 204,214 = 204,214 : x
  2. Step 2: Convert to fraction form
    131,769/204,214 = 204,214/x
  3. Step 3: Cross multiply
    131,769x = 204,214 × 204,214
  4. Step 4: Simplify right side
    131,769x = 41,703,357,796
  5. Step 5: Solve for x
    x = 41,703,357,796/131,769
  6. Step 6: Final answer
    x = 316,488.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.