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Finding the Third Proportional to 146,353.87 and 219,530.80

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Solution

The third proportional to 146,353.87 and 219,530.80 is: 329,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,353.87 : 219,530.80 = 219,530.80 : x
  2. Step 2: Convert to fraction form
    146,353.87/219,530.80 = 219,530.80/x
  3. Step 3: Cross multiply
    146,353.87x = 219,530.80 × 219,530.80
  4. Step 4: Simplify right side
    146,353.87x = 48,193,773,777.97
  5. Step 5: Solve for x
    x = 48,193,773,777.97/146,353.87
  6. Step 6: Final answer
    x = 329,296.21

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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.