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Finding the Third Proportional to 98,675 and 150,469

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Solution

The third proportional to 98,675 and 150,469 is: 229,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,675 : 150,469 = 150,469 : x
  2. Step 2: Convert to fraction form
    98,675/150,469 = 150,469/x
  3. Step 3: Cross multiply
    98,675x = 150,469 × 150,469
  4. Step 4: Simplify right side
    98,675x = 22,640,919,961
  5. Step 5: Solve for x
    x = 22,640,919,961/98,675
  6. Step 6: Final answer
    x = 229,449.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.