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Finding the Third Proportional to 182,142 and 271,343.25

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Solution

The third proportional to 182,142 and 271,343.25 is: 404,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,142 : 271,343.25 = 271,343.25 : x
  2. Step 2: Convert to fraction form
    182,142/271,343.25 = 271,343.25/x
  3. Step 3: Cross multiply
    182,142x = 271,343.25 × 271,343.25
  4. Step 4: Simplify right side
    182,142x = 73,627,159,320.56
  5. Step 5: Solve for x
    x = 73,627,159,320.56/182,142
  6. Step 6: Final answer
    x = 404,229.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.