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Finding the Third Proportional to 127,778.50 and 280,161

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Solution

The third proportional to 127,778.50 and 280,161 is: 614,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,778.50 : 280,161 = 280,161 : x
  2. Step 2: Convert to fraction form
    127,778.50/280,161 = 280,161/x
  3. Step 3: Cross multiply
    127,778.50x = 280,161 × 280,161
  4. Step 4: Simplify right side
    127,778.50x = 78,490,185,921
  5. Step 5: Solve for x
    x = 78,490,185,921/127,778.50
  6. Step 6: Final answer
    x = 614,267.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.