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Finding the Third Proportional to 196.07 and 474.13

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Solution

The third proportional to 196.07 and 474.13 is: 1,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 474.13 = 474.13 : x
  2. Step 2: Convert to fraction form
    196.07/474.13 = 474.13/x
  3. Step 3: Cross multiply
    196.07x = 474.13 × 474.13
  4. Step 4: Simplify right side
    196.07x = 224,803.78
  5. Step 5: Solve for x
    x = 224,803.78/196.07
  6. Step 6: Final answer
    x = 1,146.57

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.