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Finding the Third Proportional to 127,777.50 and 280,158.75

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Solution

The third proportional to 127,777.50 and 280,158.75 is: 614,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,777.50 : 280,158.75 = 280,158.75 : x
  2. Step 2: Convert to fraction form
    127,777.50/280,158.75 = 280,158.75/x
  3. Step 3: Cross multiply
    127,777.50x = 280,158.75 × 280,158.75
  4. Step 4: Simplify right side
    127,777.50x = 78,488,925,201.56
  5. Step 5: Solve for x
    x = 78,488,925,201.56/127,777.50
  6. Step 6: Final answer
    x = 614,262.49

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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.