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Finding the Third Proportional to 132,171 and 198,297

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Solution

The third proportional to 132,171 and 198,297 is: 297,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,171 : 198,297 = 198,297 : x
  2. Step 2: Convert to fraction form
    132,171/198,297 = 198,297/x
  3. Step 3: Cross multiply
    132,171x = 198,297 × 198,297
  4. Step 4: Simplify right side
    132,171x = 39,321,700,209
  5. Step 5: Solve for x
    x = 39,321,700,209/132,171
  6. Step 6: Final answer
    x = 297,506.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.