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Finding the Third Proportional to 188,892 and 294,759

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Solution

The third proportional to 188,892 and 294,759 is: 459,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,892 : 294,759 = 294,759 : x
  2. Step 2: Convert to fraction form
    188,892/294,759 = 294,759/x
  3. Step 3: Cross multiply
    188,892x = 294,759 × 294,759
  4. Step 4: Simplify right side
    188,892x = 86,882,868,081
  5. Step 5: Solve for x
    x = 86,882,868,081/188,892
  6. Step 6: Final answer
    x = 459,960.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.