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Finding the Third Proportional to 143,614.50 and 219,309.75

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Solution

The third proportional to 143,614.50 and 219,309.75 is: 334,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,614.50 : 219,309.75 = 219,309.75 : x
  2. Step 2: Convert to fraction form
    143,614.50/219,309.75 = 219,309.75/x
  3. Step 3: Cross multiply
    143,614.50x = 219,309.75 × 219,309.75
  4. Step 4: Simplify right side
    143,614.50x = 48,096,766,445.06
  5. Step 5: Solve for x
    x = 48,096,766,445.06/143,614.50
  6. Step 6: Final answer
    x = 334,901.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.