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Finding the Third Proportional to 138,550.50 and 298,290

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Solution

The third proportional to 138,550.50 and 298,290 is: 642,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,550.50 : 298,290 = 298,290 : x
  2. Step 2: Convert to fraction form
    138,550.50/298,290 = 298,290/x
  3. Step 3: Cross multiply
    138,550.50x = 298,290 × 298,290
  4. Step 4: Simplify right side
    138,550.50x = 88,976,924,100
  5. Step 5: Solve for x
    x = 88,976,924,100/138,550.50
  6. Step 6: Final answer
    x = 642,198.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.