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Finding the Third Proportional to 266.63 and 569.25

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Solution

The third proportional to 266.63 and 569.25 is: 1,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 569.25 = 569.25 : x
  2. Step 2: Convert to fraction form
    266.63/569.25 = 569.25/x
  3. Step 3: Cross multiply
    266.63x = 569.25 × 569.25
  4. Step 4: Simplify right side
    266.63x = 324,045.56
  5. Step 5: Solve for x
    x = 324,045.56/266.63
  6. Step 6: Final answer
    x = 1,215.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.