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Finding the Third Proportional to 112,434.75 and 235,257.75

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Solution

The third proportional to 112,434.75 and 235,257.75 is: 492,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,434.75 : 235,257.75 = 235,257.75 : x
  2. Step 2: Convert to fraction form
    112,434.75/235,257.75 = 235,257.75/x
  3. Step 3: Cross multiply
    112,434.75x = 235,257.75 × 235,257.75
  4. Step 4: Simplify right side
    112,434.75x = 55,346,208,935.06
  5. Step 5: Solve for x
    x = 55,346,208,935.06/112,434.75
  6. Step 6: Final answer
    x = 492,251.81

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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.