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Finding the Third Proportional to 266.06 and 390.09

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Solution

The third proportional to 266.06 and 390.09 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 390.09 = 390.09 : x
  2. Step 2: Convert to fraction form
    266.06/390.09 = 390.09/x
  3. Step 3: Cross multiply
    266.06x = 390.09 × 390.09
  4. Step 4: Simplify right side
    266.06x = 152,173.13
  5. Step 5: Solve for x
    x = 152,173.13/266.06
  6. Step 6: Final answer
    x = 571.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.