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Finding the Third Proportional to 238,104 and 359,589

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Solution

The third proportional to 238,104 and 359,589 is: 543,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,104 : 359,589 = 359,589 : x
  2. Step 2: Convert to fraction form
    238,104/359,589 = 359,589/x
  3. Step 3: Cross multiply
    238,104x = 359,589 × 359,589
  4. Step 4: Simplify right side
    238,104x = 129,304,248,921
  5. Step 5: Solve for x
    x = 129,304,248,921/238,104
  6. Step 6: Final answer
    x = 543,057.86

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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.