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Finding the Third Proportional to 200.06 and 301.59

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Solution

The third proportional to 200.06 and 301.59 is: 454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 301.59 = 301.59 : x
  2. Step 2: Convert to fraction form
    200.06/301.59 = 301.59/x
  3. Step 3: Cross multiply
    200.06x = 301.59 × 301.59
  4. Step 4: Simplify right side
    200.06x = 90,958.79
  5. Step 5: Solve for x
    x = 90,958.79/200.06
  6. Step 6: Final answer
    x = 454.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.