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Finding the Third Proportional to 112,403.53 and 235,198.69

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Solution

The third proportional to 112,403.53 and 235,198.69 is: 492,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,403.53 : 235,198.69 = 235,198.69 : x
  2. Step 2: Convert to fraction form
    112,403.53/235,198.69 = 235,198.69/x
  3. Step 3: Cross multiply
    112,403.53x = 235,198.69 × 235,198.69
  4. Step 4: Simplify right side
    112,403.53x = 55,318,422,601.72
  5. Step 5: Solve for x
    x = 55,318,422,601.72/112,403.53
  6. Step 6: Final answer
    x = 492,141.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.