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Finding the Third Proportional to 202.54 and 444.30

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Solution

The third proportional to 202.54 and 444.30 is: 974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.54 : 444.30 = 444.30 : x
  2. Step 2: Convert to fraction form
    202.54/444.30 = 444.30/x
  3. Step 3: Cross multiply
    202.54x = 444.30 × 444.30
  4. Step 4: Simplify right side
    202.54x = 197,406.66
  5. Step 5: Solve for x
    x = 197,406.66/202.54
  6. Step 6: Final answer
    x = 974.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.