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Finding the Third Proportional to 131,841 and 204,309

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Solution

The third proportional to 131,841 and 204,309 is: 316,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,841 : 204,309 = 204,309 : x
  2. Step 2: Convert to fraction form
    131,841/204,309 = 204,309/x
  3. Step 3: Cross multiply
    131,841x = 204,309 × 204,309
  4. Step 4: Simplify right side
    131,841x = 41,742,167,481
  5. Step 5: Solve for x
    x = 41,742,167,481/131,841
  6. Step 6: Final answer
    x = 316,609.91

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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.