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Finding the Third Proportional to 132,270 and 198,706

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Solution

The third proportional to 132,270 and 198,706 is: 298,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,270 : 198,706 = 198,706 : x
  2. Step 2: Convert to fraction form
    132,270/198,706 = 198,706/x
  3. Step 3: Cross multiply
    132,270x = 198,706 × 198,706
  4. Step 4: Simplify right side
    132,270x = 39,484,074,436
  5. Step 5: Solve for x
    x = 39,484,074,436/132,270
  6. Step 6: Final answer
    x = 298,511.18

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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.