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Finding the Third Proportional to 205.03 and 315.14

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Solution

The third proportional to 205.03 and 315.14 is: 484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 315.14 = 315.14 : x
  2. Step 2: Convert to fraction form
    205.03/315.14 = 315.14/x
  3. Step 3: Cross multiply
    205.03x = 315.14 × 315.14
  4. Step 4: Simplify right side
    205.03x = 99,313.61
  5. Step 5: Solve for x
    x = 99,313.61/205.03
  6. Step 6: Final answer
    x = 484.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.