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Finding the Third Proportional to 181.13 and 395.16

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Solution

The third proportional to 181.13 and 395.16 is: 862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.13 : 395.16 = 395.16 : x
  2. Step 2: Convert to fraction form
    181.13/395.16 = 395.16/x
  3. Step 3: Cross multiply
    181.13x = 395.16 × 395.16
  4. Step 4: Simplify right side
    181.13x = 156,148.46
  5. Step 5: Solve for x
    x = 156,148.46/181.13
  6. Step 6: Final answer
    x = 862.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.