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Finding the Third Proportional to 204,170 and 299,331

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Solution

The third proportional to 204,170 and 299,331 is: 438,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,170 : 299,331 = 299,331 : x
  2. Step 2: Convert to fraction form
    204,170/299,331 = 299,331/x
  3. Step 3: Cross multiply
    204,170x = 299,331 × 299,331
  4. Step 4: Simplify right side
    204,170x = 89,599,047,561
  5. Step 5: Solve for x
    x = 89,599,047,561/204,170
  6. Step 6: Final answer
    x = 438,845.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.