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Finding the Third Proportional to 202.94 and 426.06

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Solution

The third proportional to 202.94 and 426.06 is: 894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 426.06 = 426.06 : x
  2. Step 2: Convert to fraction form
    202.94/426.06 = 426.06/x
  3. Step 3: Cross multiply
    202.94x = 426.06 × 426.06
  4. Step 4: Simplify right side
    202.94x = 181,529.25
  5. Step 5: Solve for x
    x = 181,529.25/202.94
  6. Step 6: Final answer
    x = 894.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.