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Finding the Third Proportional to 265.97 and 565.69

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Solution

The third proportional to 265.97 and 565.69 is: 1,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 565.69 = 565.69 : x
  2. Step 2: Convert to fraction form
    265.97/565.69 = 565.69/x
  3. Step 3: Cross multiply
    265.97x = 565.69 × 565.69
  4. Step 4: Simplify right side
    265.97x = 320,002.35
  5. Step 5: Solve for x
    x = 320,002.35/265.97
  6. Step 6: Final answer
    x = 1,203.16

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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.