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Finding the Third Proportional to 231,373 and 469,186

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Solution

The third proportional to 231,373 and 469,186 is: 951,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,373 : 469,186 = 469,186 : x
  2. Step 2: Convert to fraction form
    231,373/469,186 = 469,186/x
  3. Step 3: Cross multiply
    231,373x = 469,186 × 469,186
  4. Step 4: Simplify right side
    231,373x = 220,135,502,596
  5. Step 5: Solve for x
    x = 220,135,502,596/231,373
  6. Step 6: Final answer
    x = 951,431.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.