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Finding the Third Proportional to 179,632 and 270,768

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Solution

The third proportional to 179,632 and 270,768 is: 408,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,632 : 270,768 = 270,768 : x
  2. Step 2: Convert to fraction form
    179,632/270,768 = 270,768/x
  3. Step 3: Cross multiply
    179,632x = 270,768 × 270,768
  4. Step 4: Simplify right side
    179,632x = 73,315,309,824
  5. Step 5: Solve for x
    x = 73,315,309,824/179,632
  6. Step 6: Final answer
    x = 408,141.70

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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.