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Finding the Third Proportional to 132,302 and 199,682

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Solution

The third proportional to 132,302 and 199,682 is: 301,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,302 : 199,682 = 199,682 : x
  2. Step 2: Convert to fraction form
    132,302/199,682 = 199,682/x
  3. Step 3: Cross multiply
    132,302x = 199,682 × 199,682
  4. Step 4: Simplify right side
    132,302x = 39,872,901,124
  5. Step 5: Solve for x
    x = 39,872,901,124/132,302
  6. Step 6: Final answer
    x = 301,377.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.