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Finding the Third Proportional to 266.63 and 567.84

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Solution

The third proportional to 266.63 and 567.84 is: 1,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 567.84 = 567.84 : x
  2. Step 2: Convert to fraction form
    266.63/567.84 = 567.84/x
  3. Step 3: Cross multiply
    266.63x = 567.84 × 567.84
  4. Step 4: Simplify right side
    266.63x = 322,446.52
  5. Step 5: Solve for x
    x = 322,446.52/266.63
  6. Step 6: Final answer
    x = 1,209.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.