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Finding the Third Proportional to 183.52 and 260.93

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Solution

The third proportional to 183.52 and 260.93 is: 371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 260.93 = 260.93 : x
  2. Step 2: Convert to fraction form
    183.52/260.93 = 260.93/x
  3. Step 3: Cross multiply
    183.52x = 260.93 × 260.93
  4. Step 4: Simplify right side
    183.52x = 68,084.30
  5. Step 5: Solve for x
    x = 68,084.30/183.52
  6. Step 6: Final answer
    x = 371.00

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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.