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Finding the Third Proportional to 251,892.28 and 377,682.75

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Solution

The third proportional to 251,892.28 and 377,682.75 is: 566,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,892.28 : 377,682.75 = 377,682.75 : x
  2. Step 2: Convert to fraction form
    251,892.28/377,682.75 = 377,682.75/x
  3. Step 3: Cross multiply
    251,892.28x = 377,682.75 × 377,682.75
  4. Step 4: Simplify right side
    251,892.28x = 142,644,259,647.56
  5. Step 5: Solve for x
    x = 142,644,259,647.56/251,892.28
  6. Step 6: Final answer
    x = 566,290.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.