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Finding the Third Proportional to 146,101.50 and 220,731.75

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Solution

The third proportional to 146,101.50 and 220,731.75 is: 333,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,101.50 : 220,731.75 = 220,731.75 : x
  2. Step 2: Convert to fraction form
    146,101.50/220,731.75 = 220,731.75/x
  3. Step 3: Cross multiply
    146,101.50x = 220,731.75 × 220,731.75
  4. Step 4: Simplify right side
    146,101.50x = 48,722,505,458.06
  5. Step 5: Solve for x
    x = 48,722,505,458.06/146,101.50
  6. Step 6: Final answer
    x = 333,483.95

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1.5x scale

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.