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Finding the Third Proportional to 196.06 and 288.06

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Solution

The third proportional to 196.06 and 288.06 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.06 : 288.06 = 288.06 : x
  2. Step 2: Convert to fraction form
    196.06/288.06 = 288.06/x
  3. Step 3: Cross multiply
    196.06x = 288.06 × 288.06
  4. Step 4: Simplify right side
    196.06x = 82,980.00
  5. Step 5: Solve for x
    x = 82,980.00/196.06
  6. Step 6: Final answer
    x = 423.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.