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Finding the Third Proportional to 202.50 and 442.97

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Solution

The third proportional to 202.50 and 442.97 is: 968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 442.97 = 442.97 : x
  2. Step 2: Convert to fraction form
    202.50/442.97 = 442.97/x
  3. Step 3: Cross multiply
    202.50x = 442.97 × 442.97
  4. Step 4: Simplify right side
    202.50x = 196,221.31
  5. Step 5: Solve for x
    x = 196,221.31/202.50
  6. Step 6: Final answer
    x = 968.99

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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.