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Finding the Third Proportional to 183.09 and 260.30

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Solution

The third proportional to 183.09 and 260.30 is: 370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.09 : 260.30 = 260.30 : x
  2. Step 2: Convert to fraction form
    183.09/260.30 = 260.30/x
  3. Step 3: Cross multiply
    183.09x = 260.30 × 260.30
  4. Step 4: Simplify right side
    183.09x = 67,754.46
  5. Step 5: Solve for x
    x = 67,754.46/183.09
  6. Step 6: Final answer
    x = 370.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.