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Finding the Third Proportional to 202.92 and 414.07

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Solution

The third proportional to 202.92 and 414.07 is: 844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 414.07 = 414.07 : x
  2. Step 2: Convert to fraction form
    202.92/414.07 = 414.07/x
  3. Step 3: Cross multiply
    202.92x = 414.07 × 414.07
  4. Step 4: Simplify right side
    202.92x = 171,454.22
  5. Step 5: Solve for x
    x = 171,454.22/202.92
  6. Step 6: Final answer
    x = 844.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.