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Finding the Third Proportional to 97.71 and 181.00

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Solution

The third proportional to 97.71 and 181.00 is: 335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.71 : 181.00 = 181.00 : x
  2. Step 2: Convert to fraction form
    97.71/181.00 = 181.00/x
  3. Step 3: Cross multiply
    97.71x = 181.00 × 181.00
  4. Step 4: Simplify right side
    97.71x = 32,762.50
  5. Step 5: Solve for x
    x = 32,762.50/97.71
  6. Step 6: Final answer
    x = 335.30

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.