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Finding the Third Proportional to 109,794.38 and 239,667.75

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Solution

The third proportional to 109,794.38 and 239,667.75 is: 523,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,794.38 : 239,667.75 = 239,667.75 : x
  2. Step 2: Convert to fraction form
    109,794.38/239,667.75 = 239,667.75/x
  3. Step 3: Cross multiply
    109,794.38x = 239,667.75 × 239,667.75
  4. Step 4: Simplify right side
    109,794.38x = 57,440,630,390.06
  5. Step 5: Solve for x
    x = 57,440,630,390.06/109,794.38
  6. Step 6: Final answer
    x = 523,165.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.