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Finding the Third Proportional to 261.39 and 565.85

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Solution

The third proportional to 261.39 and 565.85 is: 1,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.39 : 565.85 = 565.85 : x
  2. Step 2: Convert to fraction form
    261.39/565.85 = 565.85/x
  3. Step 3: Cross multiply
    261.39x = 565.85 × 565.85
  4. Step 4: Simplify right side
    261.39x = 320,189.65
  5. Step 5: Solve for x
    x = 320,189.65/261.39
  6. Step 6: Final answer
    x = 1,224.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.