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Finding the Third Proportional to 232,199 and 474,238

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Solution

The third proportional to 232,199 and 474,238 is: 968,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,199 : 474,238 = 474,238 : x
  2. Step 2: Convert to fraction form
    232,199/474,238 = 474,238/x
  3. Step 3: Cross multiply
    232,199x = 474,238 × 474,238
  4. Step 4: Simplify right side
    232,199x = 224,901,680,644
  5. Step 5: Solve for x
    x = 224,901,680,644/232,199
  6. Step 6: Final answer
    x = 968,572.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.