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Finding the Third Proportional to 182,745.28 and 282,418.31

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Solution

The third proportional to 182,745.28 and 282,418.31 is: 436,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,745.28 : 282,418.31 = 282,418.31 : x
  2. Step 2: Convert to fraction form
    182,745.28/282,418.31 = 282,418.31/x
  3. Step 3: Cross multiply
    182,745.28x = 282,418.31 × 282,418.31
  4. Step 4: Simplify right side
    182,745.28x = 79,760,103,235.35
  5. Step 5: Solve for x
    x = 79,760,103,235.35/182,745.28
  6. Step 6: Final answer
    x = 436,455.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.