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Finding the Third Proportional to 161,112 and 345,540

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Solution

The third proportional to 161,112 and 345,540 is: 741,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,112 : 345,540 = 345,540 : x
  2. Step 2: Convert to fraction form
    161,112/345,540 = 345,540/x
  3. Step 3: Cross multiply
    161,112x = 345,540 × 345,540
  4. Step 4: Simplify right side
    161,112x = 119,397,891,600
  5. Step 5: Solve for x
    x = 119,397,891,600/161,112
  6. Step 6: Final answer
    x = 741,086.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.