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Finding the Third Proportional to 202.90 and 301.14

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Solution

The third proportional to 202.90 and 301.14 is: 446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 301.14 = 301.14 : x
  2. Step 2: Convert to fraction form
    202.90/301.14 = 301.14/x
  3. Step 3: Cross multiply
    202.90x = 301.14 × 301.14
  4. Step 4: Simplify right side
    202.90x = 90,685.09
  5. Step 5: Solve for x
    x = 90,685.09/202.90
  6. Step 6: Final answer
    x = 446.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.