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Finding the Third Proportional to 182.13 and 384.81

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Solution

The third proportional to 182.13 and 384.81 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.13 : 384.81 = 384.81 : x
  2. Step 2: Convert to fraction form
    182.13/384.81 = 384.81/x
  3. Step 3: Cross multiply
    182.13x = 384.81 × 384.81
  4. Step 4: Simplify right side
    182.13x = 148,080.66
  5. Step 5: Solve for x
    x = 148,080.66/182.13
  6. Step 6: Final answer
    x = 813.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.