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Finding the Third Proportional to 98,293 and 150,305

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Solution

The third proportional to 98,293 and 150,305 is: 229,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,293 : 150,305 = 150,305 : x
  2. Step 2: Convert to fraction form
    98,293/150,305 = 150,305/x
  3. Step 3: Cross multiply
    98,293x = 150,305 × 150,305
  4. Step 4: Simplify right side
    98,293x = 22,591,593,025
  5. Step 5: Solve for x
    x = 22,591,593,025/98,293
  6. Step 6: Final answer
    x = 229,839.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.