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Finding the Third Proportional to 301.13 and 621.38

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Solution

The third proportional to 301.13 and 621.38 is: 1,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.13 : 621.38 = 621.38 : x
  2. Step 2: Convert to fraction form
    301.13/621.38 = 621.38/x
  3. Step 3: Cross multiply
    301.13x = 621.38 × 621.38
  4. Step 4: Simplify right side
    301.13x = 386,106.89
  5. Step 5: Solve for x
    x = 386,106.89/301.13
  6. Step 6: Final answer
    x = 1,282.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.