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Finding the Third Proportional to 138,074 and 281,944

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Solution

The third proportional to 138,074 and 281,944 is: 575,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,074 : 281,944 = 281,944 : x
  2. Step 2: Convert to fraction form
    138,074/281,944 = 281,944/x
  3. Step 3: Cross multiply
    138,074x = 281,944 × 281,944
  4. Step 4: Simplify right side
    138,074x = 79,492,419,136
  5. Step 5: Solve for x
    x = 79,492,419,136/138,074
  6. Step 6: Final answer
    x = 575,723.30

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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.