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Finding the Third Proportional to 181.50 and 392.81

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Solution

The third proportional to 181.50 and 392.81 is: 850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 392.81 = 392.81 : x
  2. Step 2: Convert to fraction form
    181.50/392.81 = 392.81/x
  3. Step 3: Cross multiply
    181.50x = 392.81 × 392.81
  4. Step 4: Simplify right side
    181.50x = 154,301.66
  5. Step 5: Solve for x
    x = 154,301.66/181.50
  6. Step 6: Final answer
    x = 850.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.