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Finding the Third Proportional to 115,002 and 247,500

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Solution

The third proportional to 115,002 and 247,500 is: 532,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,002 : 247,500 = 247,500 : x
  2. Step 2: Convert to fraction form
    115,002/247,500 = 247,500/x
  3. Step 3: Cross multiply
    115,002x = 247,500 × 247,500
  4. Step 4: Simplify right side
    115,002x = 61,256,250,000
  5. Step 5: Solve for x
    x = 61,256,250,000/115,002
  6. Step 6: Final answer
    x = 532,653.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.