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Finding the Third Proportional to 232,187 and 474,214

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Solution

The third proportional to 232,187 and 474,214 is: 968,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,187 : 474,214 = 474,214 : x
  2. Step 2: Convert to fraction form
    232,187/474,214 = 474,214/x
  3. Step 3: Cross multiply
    232,187x = 474,214 × 474,214
  4. Step 4: Simplify right side
    232,187x = 224,878,917,796
  5. Step 5: Solve for x
    x = 224,878,917,796/232,187
  6. Step 6: Final answer
    x = 968,525.02

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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.