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Finding the Third Proportional to 133,332.75 and 220,223.25

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Solution

The third proportional to 133,332.75 and 220,223.25 is: 363,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,332.75 : 220,223.25 = 220,223.25 : x
  2. Step 2: Convert to fraction form
    133,332.75/220,223.25 = 220,223.25/x
  3. Step 3: Cross multiply
    133,332.75x = 220,223.25 × 220,223.25
  4. Step 4: Simplify right side
    133,332.75x = 48,498,279,840.56
  5. Step 5: Solve for x
    x = 48,498,279,840.56/133,332.75
  6. Step 6: Final answer
    x = 363,738.69

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.