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Finding the Third Proportional to 132,232 and 204,180

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Solution

The third proportional to 132,232 and 204,180 is: 315,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,232 : 204,180 = 204,180 : x
  2. Step 2: Convert to fraction form
    132,232/204,180 = 204,180/x
  3. Step 3: Cross multiply
    132,232x = 204,180 × 204,180
  4. Step 4: Simplify right side
    132,232x = 41,689,472,400
  5. Step 5: Solve for x
    x = 41,689,472,400/132,232
  6. Step 6: Final answer
    x = 315,275.22

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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.