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Finding the Third Proportional to 196.17 and 292.99

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Solution

The third proportional to 196.17 and 292.99 is: 437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 292.99 = 292.99 : x
  2. Step 2: Convert to fraction form
    196.17/292.99 = 292.99/x
  3. Step 3: Cross multiply
    196.17x = 292.99 × 292.99
  4. Step 4: Simplify right side
    196.17x = 85,844.42
  5. Step 5: Solve for x
    x = 85,844.42/196.17
  6. Step 6: Final answer
    x = 437.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.