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Finding the Third Proportional to 182,614.50 and 255,408.19

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Solution

The third proportional to 182,614.50 and 255,408.19 is: 357,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,614.50 : 255,408.19 = 255,408.19 : x
  2. Step 2: Convert to fraction form
    182,614.50/255,408.19 = 255,408.19/x
  3. Step 3: Cross multiply
    182,614.50x = 255,408.19 × 255,408.19
  4. Step 4: Simplify right side
    182,614.50x = 65,233,342,242.04
  5. Step 5: Solve for x
    x = 65,233,342,242.04/182,614.50
  6. Step 6: Final answer
    x = 357,218.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.