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Finding the Third Proportional to 202.22 and 486.84

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Solution

The third proportional to 202.22 and 486.84 is: 1,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 486.84 = 486.84 : x
  2. Step 2: Convert to fraction form
    202.22/486.84 = 486.84/x
  3. Step 3: Cross multiply
    202.22x = 486.84 × 486.84
  4. Step 4: Simplify right side
    202.22x = 237,016.84
  5. Step 5: Solve for x
    x = 237,016.84/202.22
  6. Step 6: Final answer
    x = 1,172.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.