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Finding the Third Proportional to 159,067.13 and 233,254.69

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Solution

The third proportional to 159,067.13 and 233,254.69 is: 342,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,067.13 : 233,254.69 = 233,254.69 : x
  2. Step 2: Convert to fraction form
    159,067.13/233,254.69 = 233,254.69/x
  3. Step 3: Cross multiply
    159,067.13x = 233,254.69 × 233,254.69
  4. Step 4: Simplify right side
    159,067.13x = 54,407,749,240.72
  5. Step 5: Solve for x
    x = 54,407,749,240.72/159,067.13
  6. Step 6: Final answer
    x = 342,042.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.