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Finding the Third Proportional to 132,932.25 and 204,324.75

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Solution

The third proportional to 132,932.25 and 204,324.75 is: 314,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,932.25 : 204,324.75 = 204,324.75 : x
  2. Step 2: Convert to fraction form
    132,932.25/204,324.75 = 204,324.75/x
  3. Step 3: Cross multiply
    132,932.25x = 204,324.75 × 204,324.75
  4. Step 4: Simplify right side
    132,932.25x = 41,748,603,462.56
  5. Step 5: Solve for x
    x = 41,748,603,462.56/132,932.25
  6. Step 6: Final answer
    x = 314,059.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.