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Finding the Third Proportional to 112,603.50 and 231,555

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Solution

The third proportional to 112,603.50 and 231,555 is: 476,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,603.50 : 231,555 = 231,555 : x
  2. Step 2: Convert to fraction form
    112,603.50/231,555 = 231,555/x
  3. Step 3: Cross multiply
    112,603.50x = 231,555 × 231,555
  4. Step 4: Simplify right side
    112,603.50x = 53,617,718,025
  5. Step 5: Solve for x
    x = 53,617,718,025/112,603.50
  6. Step 6: Final answer
    x = 476,163.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.