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Finding the Third Proportional to 98,241 and 200,610

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Solution

The third proportional to 98,241 and 200,610 is: 409,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,241 : 200,610 = 200,610 : x
  2. Step 2: Convert to fraction form
    98,241/200,610 = 200,610/x
  3. Step 3: Cross multiply
    98,241x = 200,610 × 200,610
  4. Step 4: Simplify right side
    98,241x = 40,244,372,100
  5. Step 5: Solve for x
    x = 40,244,372,100/98,241
  6. Step 6: Final answer
    x = 409,649.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.