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Finding the Third Proportional to 231,099 and 348,288

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Solution

The third proportional to 231,099 and 348,288 is: 524,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,099 : 348,288 = 348,288 : x
  2. Step 2: Convert to fraction form
    231,099/348,288 = 348,288/x
  3. Step 3: Cross multiply
    231,099x = 348,288 × 348,288
  4. Step 4: Simplify right side
    231,099x = 121,304,530,944
  5. Step 5: Solve for x
    x = 121,304,530,944/231,099
  6. Step 6: Final answer
    x = 524,902.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.