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Finding the Third Proportional to 306.28 and 511.95

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Solution

The third proportional to 306.28 and 511.95 is: 855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.28 : 511.95 = 511.95 : x
  2. Step 2: Convert to fraction form
    306.28/511.95 = 511.95/x
  3. Step 3: Cross multiply
    306.28x = 511.95 × 511.95
  4. Step 4: Simplify right side
    306.28x = 262,088.00
  5. Step 5: Solve for x
    x = 262,088.00/306.28
  6. Step 6: Final answer
    x = 855.71

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.