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Finding the Third Proportional to 160,906.13 and 347,103.75

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Solution

The third proportional to 160,906.13 and 347,103.75 is: 748,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,906.13 : 347,103.75 = 347,103.75 : x
  2. Step 2: Convert to fraction form
    160,906.13/347,103.75 = 347,103.75/x
  3. Step 3: Cross multiply
    160,906.13x = 347,103.75 × 347,103.75
  4. Step 4: Simplify right side
    160,906.13x = 120,481,013,264.06
  5. Step 5: Solve for x
    x = 120,481,013,264.06/160,906.13
  6. Step 6: Final answer
    x = 748,765.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.