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Finding the Third Proportional to 146,197.75 and 220,376.50

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Solution

The third proportional to 146,197.75 and 220,376.50 is: 332,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,197.75 : 220,376.50 = 220,376.50 : x
  2. Step 2: Convert to fraction form
    146,197.75/220,376.50 = 220,376.50/x
  3. Step 3: Cross multiply
    146,197.75x = 220,376.50 × 220,376.50
  4. Step 4: Simplify right side
    146,197.75x = 48,565,801,752.25
  5. Step 5: Solve for x
    x = 48,565,801,752.25/146,197.75
  6. Step 6: Final answer
    x = 332,192.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.