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Finding the Third Proportional to 98,674 and 150,467

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Solution

The third proportional to 98,674 and 150,467 is: 229,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,674 : 150,467 = 150,467 : x
  2. Step 2: Convert to fraction form
    98,674/150,467 = 150,467/x
  3. Step 3: Cross multiply
    98,674x = 150,467 × 150,467
  4. Step 4: Simplify right side
    98,674x = 22,640,318,089
  5. Step 5: Solve for x
    x = 22,640,318,089/98,674
  6. Step 6: Final answer
    x = 229,445.63

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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.