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Finding the Third Proportional to 132,684 and 198,538.50

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Solution

The third proportional to 132,684 and 198,538.50 is: 297,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,684 : 198,538.50 = 198,538.50 : x
  2. Step 2: Convert to fraction form
    132,684/198,538.50 = 198,538.50/x
  3. Step 3: Cross multiply
    132,684x = 198,538.50 × 198,538.50
  4. Step 4: Simplify right side
    132,684x = 39,417,535,982.25
  5. Step 5: Solve for x
    x = 39,417,535,982.25/132,684
  6. Step 6: Final answer
    x = 297,078.29

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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.