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Finding the Third Proportional to 176,616 and 270,234

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Solution

The third proportional to 176,616 and 270,234 is: 413,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,616 : 270,234 = 270,234 : x
  2. Step 2: Convert to fraction form
    176,616/270,234 = 270,234/x
  3. Step 3: Cross multiply
    176,616x = 270,234 × 270,234
  4. Step 4: Simplify right side
    176,616x = 73,026,414,756
  5. Step 5: Solve for x
    x = 73,026,414,756/176,616
  6. Step 6: Final answer
    x = 413,475.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.