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Finding the Third Proportional to 182,542.50 and 401,049

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Solution

The third proportional to 182,542.50 and 401,049 is: 881,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,542.50 : 401,049 = 401,049 : x
  2. Step 2: Convert to fraction form
    182,542.50/401,049 = 401,049/x
  3. Step 3: Cross multiply
    182,542.50x = 401,049 × 401,049
  4. Step 4: Simplify right side
    182,542.50x = 160,840,300,401
  5. Step 5: Solve for x
    x = 160,840,300,401/182,542.50
  6. Step 6: Final answer
    x = 881,111.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.