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Finding the Third Proportional to 132,488 and 196,932

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Solution

The third proportional to 132,488 and 196,932 is: 292,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,488 : 196,932 = 196,932 : x
  2. Step 2: Convert to fraction form
    132,488/196,932 = 196,932/x
  3. Step 3: Cross multiply
    132,488x = 196,932 × 196,932
  4. Step 4: Simplify right side
    132,488x = 38,782,212,624
  5. Step 5: Solve for x
    x = 38,782,212,624/132,488
  6. Step 6: Final answer
    x = 292,722.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.