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Finding the Third Proportional to 157,042.13 and 327,358.13

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Solution

The third proportional to 157,042.13 and 327,358.13 is: 682,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,042.13 : 327,358.13 = 327,358.13 : x
  2. Step 2: Convert to fraction form
    157,042.13/327,358.13 = 327,358.13/x
  3. Step 3: Cross multiply
    157,042.13x = 327,358.13 × 327,358.13
  4. Step 4: Simplify right side
    157,042.13x = 107,163,342,003.52
  5. Step 5: Solve for x
    x = 107,163,342,003.52/157,042.13
  6. Step 6: Final answer
    x = 682,385.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.