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Finding the Third Proportional to 127,770.75 and 281,238.75

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Solution

The third proportional to 127,770.75 and 281,238.75 is: 619,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,770.75 : 281,238.75 = 281,238.75 : x
  2. Step 2: Convert to fraction form
    127,770.75/281,238.75 = 281,238.75/x
  3. Step 3: Cross multiply
    127,770.75x = 281,238.75 × 281,238.75
  4. Step 4: Simplify right side
    127,770.75x = 79,095,234,501.56
  5. Step 5: Solve for x
    x = 79,095,234,501.56/127,770.75
  6. Step 6: Final answer
    x = 619,040.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.