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Finding the Third Proportional to 261.38 and 566.25

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Solution

The third proportional to 261.38 and 566.25 is: 1,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 566.25 = 566.25 : x
  2. Step 2: Convert to fraction form
    261.38/566.25 = 566.25/x
  3. Step 3: Cross multiply
    261.38x = 566.25 × 566.25
  4. Step 4: Simplify right side
    261.38x = 320,639.06
  5. Step 5: Solve for x
    x = 320,639.06/261.38
  6. Step 6: Final answer
    x = 1,226.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.