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Finding the Third Proportional to 195.06 and 424.14

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Solution

The third proportional to 195.06 and 424.14 is: 922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 424.14 = 424.14 : x
  2. Step 2: Convert to fraction form
    195.06/424.14 = 424.14/x
  3. Step 3: Cross multiply
    195.06x = 424.14 × 424.14
  4. Step 4: Simplify right side
    195.06x = 179,896.93
  5. Step 5: Solve for x
    x = 179,896.93/195.06
  6. Step 6: Final answer
    x = 922.24

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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.