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Finding the Third Proportional to 191,811.38 and 290,382.75

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Solution

The third proportional to 191,811.38 and 290,382.75 is: 439,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,811.38 : 290,382.75 = 290,382.75 : x
  2. Step 2: Convert to fraction form
    191,811.38/290,382.75 = 290,382.75/x
  3. Step 3: Cross multiply
    191,811.38x = 290,382.75 × 290,382.75
  4. Step 4: Simplify right side
    191,811.38x = 84,322,141,497.56
  5. Step 5: Solve for x
    x = 84,322,141,497.56/191,811.38
  6. Step 6: Final answer
    x = 439,609.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.