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Finding the Third Proportional to 156,959.25 and 234,825.75

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Solution

The third proportional to 156,959.25 and 234,825.75 is: 351,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959.25 : 234,825.75 = 234,825.75 : x
  2. Step 2: Convert to fraction form
    156,959.25/234,825.75 = 234,825.75/x
  3. Step 3: Cross multiply
    156,959.25x = 234,825.75 × 234,825.75
  4. Step 4: Simplify right side
    156,959.25x = 55,143,132,863.06
  5. Step 5: Solve for x
    x = 55,143,132,863.06/156,959.25
  6. Step 6: Final answer
    x = 351,321.33

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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.