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Finding the Third Proportional to 261.98 and 385.38

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Solution

The third proportional to 261.98 and 385.38 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 385.38 = 385.38 : x
  2. Step 2: Convert to fraction form
    261.98/385.38 = 385.38/x
  3. Step 3: Cross multiply
    261.98x = 385.38 × 385.38
  4. Step 4: Simplify right side
    261.98x = 148,519.91
  5. Step 5: Solve for x
    x = 148,519.91/261.98
  6. Step 6: Final answer
    x = 566.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.