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Finding the Third Proportional to 132,203.50 and 198,598

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Solution

The third proportional to 132,203.50 and 198,598 is: 298,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,203.50 : 198,598 = 198,598 : x
  2. Step 2: Convert to fraction form
    132,203.50/198,598 = 198,598/x
  3. Step 3: Cross multiply
    132,203.50x = 198,598 × 198,598
  4. Step 4: Simplify right side
    132,203.50x = 39,441,165,604
  5. Step 5: Solve for x
    x = 39,441,165,604/132,203.50
  6. Step 6: Final answer
    x = 298,336.77

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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.