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Finding the Third Proportional to 207,228 and 429,198

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Solution

The third proportional to 207,228 and 429,198 is: 888,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,228 : 429,198 = 429,198 : x
  2. Step 2: Convert to fraction form
    207,228/429,198 = 429,198/x
  3. Step 3: Cross multiply
    207,228x = 429,198 × 429,198
  4. Step 4: Simplify right side
    207,228x = 184,210,923,204
  5. Step 5: Solve for x
    x = 184,210,923,204/207,228
  6. Step 6: Final answer
    x = 888,928.73

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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.