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Finding the Third Proportional to 185,146.31 and 248,194.97

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Solution

The third proportional to 185,146.31 and 248,194.97 is: 332,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,146.31 : 248,194.97 = 248,194.97 : x
  2. Step 2: Convert to fraction form
    185,146.31/248,194.97 = 248,194.97/x
  3. Step 3: Cross multiply
    185,146.31x = 248,194.97 × 248,194.97
  4. Step 4: Simplify right side
    185,146.31x = 61,600,742,512.81
  5. Step 5: Solve for x
    x = 61,600,742,512.81/185,146.31
  6. Step 6: Final answer
    x = 332,713.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.