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Finding the Third Proportional to 107,493.75 and 230,836.50

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Solution

The third proportional to 107,493.75 and 230,836.50 is: 495,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,493.75 : 230,836.50 = 230,836.50 : x
  2. Step 2: Convert to fraction form
    107,493.75/230,836.50 = 230,836.50/x
  3. Step 3: Cross multiply
    107,493.75x = 230,836.50 × 230,836.50
  4. Step 4: Simplify right side
    107,493.75x = 53,285,489,732.25
  5. Step 5: Solve for x
    x = 53,285,489,732.25/107,493.75
  6. Step 6: Final answer
    x = 495,707.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.