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Finding the Third Proportional to 207,204 and 429,150

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Solution

The third proportional to 207,204 and 429,150 is: 888,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,204 : 429,150 = 429,150 : x
  2. Step 2: Convert to fraction form
    207,204/429,150 = 429,150/x
  3. Step 3: Cross multiply
    207,204x = 429,150 × 429,150
  4. Step 4: Simplify right side
    207,204x = 184,169,722,500
  5. Step 5: Solve for x
    x = 184,169,722,500/207,204
  6. Step 6: Final answer
    x = 888,832.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.