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Finding the Third Proportional to 196.49 and 299.00

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Solution

The third proportional to 196.49 and 299.00 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 299.00 = 299.00 : x
  2. Step 2: Convert to fraction form
    196.49/299.00 = 299.00/x
  3. Step 3: Cross multiply
    196.49x = 299.00 × 299.00
  4. Step 4: Simplify right side
    196.49x = 89,403.34
  5. Step 5: Solve for x
    x = 89,403.34/196.49
  6. Step 6: Final answer
    x = 455.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.