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Finding the Third Proportional to 116,251.50 and 255,371.25

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Solution

The third proportional to 116,251.50 and 255,371.25 is: 560,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,251.50 : 255,371.25 = 255,371.25 : x
  2. Step 2: Convert to fraction form
    116,251.50/255,371.25 = 255,371.25/x
  3. Step 3: Cross multiply
    116,251.50x = 255,371.25 × 255,371.25
  4. Step 4: Simplify right side
    116,251.50x = 65,214,475,326.56
  5. Step 5: Solve for x
    x = 65,214,475,326.56/116,251.50
  6. Step 6: Final answer
    x = 560,977.50

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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.