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Finding the Third Proportional to 72,343.50 and 150,231

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Solution

The third proportional to 72,343.50 and 150,231 is: 311,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,343.50 : 150,231 = 150,231 : x
  2. Step 2: Convert to fraction form
    72,343.50/150,231 = 150,231/x
  3. Step 3: Cross multiply
    72,343.50x = 150,231 × 150,231
  4. Step 4: Simplify right side
    72,343.50x = 22,569,353,361
  5. Step 5: Solve for x
    x = 22,569,353,361/72,343.50
  6. Step 6: Final answer
    x = 311,974.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.