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Finding the Third Proportional to 146,555 and 220,220.50

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Solution

The third proportional to 146,555 and 220,220.50 is: 330,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,555 : 220,220.50 = 220,220.50 : x
  2. Step 2: Convert to fraction form
    146,555/220,220.50 = 220,220.50/x
  3. Step 3: Cross multiply
    146,555x = 220,220.50 × 220,220.50
  4. Step 4: Simplify right side
    146,555x = 48,497,068,620.25
  5. Step 5: Solve for x
    x = 48,497,068,620.25/146,555
  6. Step 6: Final answer
    x = 330,913.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.