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Finding the Third Proportional to 116,868.75 and 255,983.25

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Solution

The third proportional to 116,868.75 and 255,983.25 is: 560,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,868.75 : 255,983.25 = 255,983.25 : x
  2. Step 2: Convert to fraction form
    116,868.75/255,983.25 = 255,983.25/x
  3. Step 3: Cross multiply
    116,868.75x = 255,983.25 × 255,983.25
  4. Step 4: Simplify right side
    116,868.75x = 65,527,424,280.56
  5. Step 5: Solve for x
    x = 65,527,424,280.56/116,868.75
  6. Step 6: Final answer
    x = 560,692.44

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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.