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Finding the Third Proportional to 232,196 and 474,231

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Solution

The third proportional to 232,196 and 474,231 is: 968,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,196 : 474,231 = 474,231 : x
  2. Step 2: Convert to fraction form
    232,196/474,231 = 474,231/x
  3. Step 3: Cross multiply
    232,196x = 474,231 × 474,231
  4. Step 4: Simplify right side
    232,196x = 224,895,041,361
  5. Step 5: Solve for x
    x = 224,895,041,361/232,196
  6. Step 6: Final answer
    x = 968,556.91

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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.