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Finding the Third Proportional to 196.22 and 296.87

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Solution

The third proportional to 196.22 and 296.87 is: 449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 296.87 = 296.87 : x
  2. Step 2: Convert to fraction form
    196.22/296.87 = 296.87/x
  3. Step 3: Cross multiply
    196.22x = 296.87 × 296.87
  4. Step 4: Simplify right side
    196.22x = 88,130.71
  5. Step 5: Solve for x
    x = 88,130.71/196.22
  6. Step 6: Final answer
    x = 449.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.