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Finding the Third Proportional to 264.25 and 565.75

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Solution

The third proportional to 264.25 and 565.75 is: 1,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.25 : 565.75 = 565.75 : x
  2. Step 2: Convert to fraction form
    264.25/565.75 = 565.75/x
  3. Step 3: Cross multiply
    264.25x = 565.75 × 565.75
  4. Step 4: Simplify right side
    264.25x = 320,073.06
  5. Step 5: Solve for x
    x = 320,073.06/264.25
  6. Step 6: Final answer
    x = 1,211.25

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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.