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Finding the Third Proportional to 182.88 and 370.83

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Solution

The third proportional to 182.88 and 370.83 is: 751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.88 : 370.83 = 370.83 : x
  2. Step 2: Convert to fraction form
    182.88/370.83 = 370.83/x
  3. Step 3: Cross multiply
    182.88x = 370.83 × 370.83
  4. Step 4: Simplify right side
    182.88x = 137,513.50
  5. Step 5: Solve for x
    x = 137,513.50/182.88
  6. Step 6: Final answer
    x = 751.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.