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Finding the Third Proportional to 132,932 and 204,327

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Solution

The third proportional to 132,932 and 204,327 is: 314,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,932 : 204,327 = 204,327 : x
  2. Step 2: Convert to fraction form
    132,932/204,327 = 204,327/x
  3. Step 3: Cross multiply
    132,932x = 204,327 × 204,327
  4. Step 4: Simplify right side
    132,932x = 41,749,522,929
  5. Step 5: Solve for x
    x = 41,749,522,929/132,932
  6. Step 6: Final answer
    x = 314,066.76

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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.