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Finding the Third Proportional to 182.38 and 260.06

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Solution

The third proportional to 182.38 and 260.06 is: 370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.38 : 260.06 = 260.06 : x
  2. Step 2: Convert to fraction form
    182.38/260.06 = 260.06/x
  3. Step 3: Cross multiply
    182.38x = 260.06 × 260.06
  4. Step 4: Simplify right side
    182.38x = 67,632.50
  5. Step 5: Solve for x
    x = 67,632.50/182.38
  6. Step 6: Final answer
    x = 370.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.