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Finding the Third Proportional to 141,198.75 and 209,364.75

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Solution

The third proportional to 141,198.75 and 209,364.75 is: 310,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,198.75 : 209,364.75 = 209,364.75 : x
  2. Step 2: Convert to fraction form
    141,198.75/209,364.75 = 209,364.75/x
  3. Step 3: Cross multiply
    141,198.75x = 209,364.75 × 209,364.75
  4. Step 4: Simplify right side
    141,198.75x = 43,833,598,542.56
  5. Step 5: Solve for x
    x = 43,833,598,542.56/141,198.75
  6. Step 6: Final answer
    x = 310,439.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.