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Finding the Third Proportional to 235,060 and 342,744

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Solution

The third proportional to 235,060 and 342,744 is: 499,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,060 : 342,744 = 342,744 : x
  2. Step 2: Convert to fraction form
    235,060/342,744 = 342,744/x
  3. Step 3: Cross multiply
    235,060x = 342,744 × 342,744
  4. Step 4: Simplify right side
    235,060x = 117,473,449,536
  5. Step 5: Solve for x
    x = 117,473,449,536/235,060
  6. Step 6: Final answer
    x = 499,759.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.