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Finding the Third Proportional to 271.13 and 569.67

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Solution

The third proportional to 271.13 and 569.67 is: 1,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.13 : 569.67 = 569.67 : x
  2. Step 2: Convert to fraction form
    271.13/569.67 = 569.67/x
  3. Step 3: Cross multiply
    271.13x = 569.67 × 569.67
  4. Step 4: Simplify right side
    271.13x = 324,526.05
  5. Step 5: Solve for x
    x = 324,526.05/271.13
  6. Step 6: Final answer
    x = 1,196.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.