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Finding the Third Proportional to 146,139.75 and 219,229.88

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Solution

The third proportional to 146,139.75 and 219,229.88 is: 328,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,139.75 : 219,229.88 = 219,229.88 : x
  2. Step 2: Convert to fraction form
    146,139.75/219,229.88 = 219,229.88/x
  3. Step 3: Cross multiply
    146,139.75x = 219,229.88 × 219,229.88
  4. Step 4: Simplify right side
    146,139.75x = 48,061,738,092.52
  5. Step 5: Solve for x
    x = 48,061,738,092.52/146,139.75
  6. Step 6: Final answer
    x = 328,875.19

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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.