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Finding the Third Proportional to 177,674 and 234,756

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Solution

The third proportional to 177,674 and 234,756 is: 310,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,674 : 234,756 = 234,756 : x
  2. Step 2: Convert to fraction form
    177,674/234,756 = 234,756/x
  3. Step 3: Cross multiply
    177,674x = 234,756 × 234,756
  4. Step 4: Simplify right side
    177,674x = 55,110,379,536
  5. Step 5: Solve for x
    x = 55,110,379,536/177,674
  6. Step 6: Final answer
    x = 310,176.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.