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Finding the Third Proportional to 231,667 and 369,982

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Solution

The third proportional to 231,667 and 369,982 is: 590,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,667 : 369,982 = 369,982 : x
  2. Step 2: Convert to fraction form
    231,667/369,982 = 369,982/x
  3. Step 3: Cross multiply
    231,667x = 369,982 × 369,982
  4. Step 4: Simplify right side
    231,667x = 136,886,680,324
  5. Step 5: Solve for x
    x = 136,886,680,324/231,667
  6. Step 6: Final answer
    x = 590,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.