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Finding the Third Proportional to 261.98 and 568.11

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Solution

The third proportional to 261.98 and 568.11 is: 1,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 568.11 = 568.11 : x
  2. Step 2: Convert to fraction form
    261.98/568.11 = 568.11/x
  3. Step 3: Cross multiply
    261.98x = 568.11 × 568.11
  4. Step 4: Simplify right side
    261.98x = 322,746.04
  5. Step 5: Solve for x
    x = 322,746.04/261.98
  6. Step 6: Final answer
    x = 1,231.93

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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.