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Finding the Third Proportional to 182.04 and 411.12

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Solution

The third proportional to 182.04 and 411.12 is: 928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 411.12 = 411.12 : x
  2. Step 2: Convert to fraction form
    182.04/411.12 = 411.12/x
  3. Step 3: Cross multiply
    182.04x = 411.12 × 411.12
  4. Step 4: Simplify right side
    182.04x = 169,017.34
  5. Step 5: Solve for x
    x = 169,017.34/182.04
  6. Step 6: Final answer
    x = 928.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.