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Finding the Third Proportional to 131,872 and 293,228

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Solution

The third proportional to 131,872 and 293,228 is: 652,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,872 : 293,228 = 293,228 : x
  2. Step 2: Convert to fraction form
    131,872/293,228 = 293,228/x
  3. Step 3: Cross multiply
    131,872x = 293,228 × 293,228
  4. Step 4: Simplify right side
    131,872x = 85,982,659,984
  5. Step 5: Solve for x
    x = 85,982,659,984/131,872
  6. Step 6: Final answer
    x = 652,016.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.