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Finding the Third Proportional to 122,501.11 and 263,770.17

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Solution

The third proportional to 122,501.11 and 263,770.17 is: 567,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,501.11 : 263,770.17 = 263,770.17 : x
  2. Step 2: Convert to fraction form
    122,501.11/263,770.17 = 263,770.17/x
  3. Step 3: Cross multiply
    122,501.11x = 263,770.17 × 263,770.17
  4. Step 4: Simplify right side
    122,501.11x = 69,574,703,570.97
  5. Step 5: Solve for x
    x = 69,574,703,570.97/122,501.11
  6. Step 6: Final answer
    x = 567,951.62

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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.