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Finding the Third Proportional to 196.04 and 424.39

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Solution

The third proportional to 196.04 and 424.39 is: 918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 424.39 = 424.39 : x
  2. Step 2: Convert to fraction form
    196.04/424.39 = 424.39/x
  3. Step 3: Cross multiply
    196.04x = 424.39 × 424.39
  4. Step 4: Simplify right side
    196.04x = 180,106.68
  5. Step 5: Solve for x
    x = 180,106.68/196.04
  6. Step 6: Final answer
    x = 918.71

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