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Finding the Third Proportional to 195.19 and 424.48

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Solution

The third proportional to 195.19 and 424.48 is: 923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 424.48 = 424.48 : x
  2. Step 2: Convert to fraction form
    195.19/424.48 = 424.48/x
  3. Step 3: Cross multiply
    195.19x = 424.48 × 424.48
  4. Step 4: Simplify right side
    195.19x = 180,180.35
  5. Step 5: Solve for x
    x = 180,180.35/195.19
  6. Step 6: Final answer
    x = 923.11

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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.