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Finding the Third Proportional to 252,770.50 and 550,177

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Solution

The third proportional to 252,770.50 and 550,177 is: 1,197,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,770.50 : 550,177 = 550,177 : x
  2. Step 2: Convert to fraction form
    252,770.50/550,177 = 550,177/x
  3. Step 3: Cross multiply
    252,770.50x = 550,177 × 550,177
  4. Step 4: Simplify right side
    252,770.50x = 302,694,731,329
  5. Step 5: Solve for x
    x = 302,694,731,329/252,770.50
  6. Step 6: Final answer
    x = 1,197,508.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.