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Finding the Third Proportional to 179.88 and 426.13

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Solution

The third proportional to 179.88 and 426.13 is: 1,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 426.13 = 426.13 : x
  2. Step 2: Convert to fraction form
    179.88/426.13 = 426.13/x
  3. Step 3: Cross multiply
    179.88x = 426.13 × 426.13
  4. Step 4: Simplify right side
    179.88x = 181,582.52
  5. Step 5: Solve for x
    x = 181,582.52/179.88
  6. Step 6: Final answer
    x = 1,009.49

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.