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Finding the Third Proportional to 266.88 and 470.75

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Solution

The third proportional to 266.88 and 470.75 is: 830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 470.75 = 470.75 : x
  2. Step 2: Convert to fraction form
    266.88/470.75 = 470.75/x
  3. Step 3: Cross multiply
    266.88x = 470.75 × 470.75
  4. Step 4: Simplify right side
    266.88x = 221,605.56
  5. Step 5: Solve for x
    x = 221,605.56/266.88
  6. Step 6: Final answer
    x = 830.37

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.