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Finding the Third Proportional to 72,350 and 150,244

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Solution

The third proportional to 72,350 and 150,244 is: 312,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,350 : 150,244 = 150,244 : x
  2. Step 2: Convert to fraction form
    72,350/150,244 = 150,244/x
  3. Step 3: Cross multiply
    72,350x = 150,244 × 150,244
  4. Step 4: Simplify right side
    72,350x = 22,573,259,536
  5. Step 5: Solve for x
    x = 22,573,259,536/72,350
  6. Step 6: Final answer
    x = 312,000.82

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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.