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Finding the Third Proportional to 196.07 and 425.99

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Solution

The third proportional to 196.07 and 425.99 is: 925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 425.99 = 425.99 : x
  2. Step 2: Convert to fraction form
    196.07/425.99 = 425.99/x
  3. Step 3: Cross multiply
    196.07x = 425.99 × 425.99
  4. Step 4: Simplify right side
    196.07x = 181,466.02
  5. Step 5: Solve for x
    x = 181,466.02/196.07
  6. Step 6: Final answer
    x = 925.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.