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Finding the Third Proportional to 160,147.13 and 239,856.19

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Solution

The third proportional to 160,147.13 and 239,856.19 is: 359,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,147.13 : 239,856.19 = 239,856.19 : x
  2. Step 2: Convert to fraction form
    160,147.13/239,856.19 = 239,856.19/x
  3. Step 3: Cross multiply
    160,147.13x = 239,856.19 × 239,856.19
  4. Step 4: Simplify right side
    160,147.13x = 57,530,990,682.04
  5. Step 5: Solve for x
    x = 57,530,990,682.04/160,147.13
  6. Step 6: Final answer
    x = 359,238.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.