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Finding the Third Proportional to 156,002 and 241,947

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Solution

The third proportional to 156,002 and 241,947 is: 375,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,002 : 241,947 = 241,947 : x
  2. Step 2: Convert to fraction form
    156,002/241,947 = 241,947/x
  3. Step 3: Cross multiply
    156,002x = 241,947 × 241,947
  4. Step 4: Simplify right side
    156,002x = 58,538,350,809
  5. Step 5: Solve for x
    x = 58,538,350,809/156,002
  6. Step 6: Final answer
    x = 375,241.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.