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Finding the Third Proportional to 195.06 and 419.08

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Solution

The third proportional to 195.06 and 419.08 is: 900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 419.08 = 419.08 : x
  2. Step 2: Convert to fraction form
    195.06/419.08 = 419.08/x
  3. Step 3: Cross multiply
    195.06x = 419.08 × 419.08
  4. Step 4: Simplify right side
    195.06x = 175,628.11
  5. Step 5: Solve for x
    x = 175,628.11/195.06
  6. Step 6: Final answer
    x = 900.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.