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Finding the Third Proportional to 266.69 and 632.38

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Solution

The third proportional to 266.69 and 632.38 is: 1,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.69 : 632.38 = 632.38 : x
  2. Step 2: Convert to fraction form
    266.69/632.38 = 632.38/x
  3. Step 3: Cross multiply
    266.69x = 632.38 × 632.38
  4. Step 4: Simplify right side
    266.69x = 399,898.14
  5. Step 5: Solve for x
    x = 399,898.14/266.69
  6. Step 6: Final answer
    x = 1,499.50

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.