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Finding the Third Proportional to 158,194.69 and 341,251.31

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Solution

The third proportional to 158,194.69 and 341,251.31 is: 736,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,194.69 : 341,251.31 = 341,251.31 : x
  2. Step 2: Convert to fraction form
    158,194.69/341,251.31 = 341,251.31/x
  3. Step 3: Cross multiply
    158,194.69x = 341,251.31 × 341,251.31
  4. Step 4: Simplify right side
    158,194.69x = 116,452,458,282.97
  5. Step 5: Solve for x
    x = 116,452,458,282.97/158,194.69
  6. Step 6: Final answer
    x = 736,133.81

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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.