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Finding the Third Proportional to 266.63 and 294.47

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Solution

The third proportional to 266.63 and 294.47 is: 325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 294.47 = 294.47 : x
  2. Step 2: Convert to fraction form
    266.63/294.47 = 294.47/x
  3. Step 3: Cross multiply
    266.63x = 294.47 × 294.47
  4. Step 4: Simplify right side
    266.63x = 86,711.84
  5. Step 5: Solve for x
    x = 86,711.84/266.63
  6. Step 6: Final answer
    x = 325.22

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.