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Finding the Third Proportional to 183.13 and 325.66

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Solution

The third proportional to 183.13 and 325.66 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.13 : 325.66 = 325.66 : x
  2. Step 2: Convert to fraction form
    183.13/325.66 = 325.66/x
  3. Step 3: Cross multiply
    183.13x = 325.66 × 325.66
  4. Step 4: Simplify right side
    183.13x = 106,051.99
  5. Step 5: Solve for x
    x = 106,051.99/183.13
  6. Step 6: Final answer
    x = 579.12

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.