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Finding the Third Proportional to 300.88 and 426.13

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Solution

The third proportional to 300.88 and 426.13 is: 603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 426.13 = 426.13 : x
  2. Step 2: Convert to fraction form
    300.88/426.13 = 426.13/x
  3. Step 3: Cross multiply
    300.88x = 426.13 × 426.13
  4. Step 4: Simplify right side
    300.88x = 181,582.52
  5. Step 5: Solve for x
    x = 181,582.52/300.88
  6. Step 6: Final answer
    x = 603.51

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.