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Finding the Third Proportional to 195.06 and 425.69

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Solution

The third proportional to 195.06 and 425.69 is: 928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 425.69 = 425.69 : x
  2. Step 2: Convert to fraction form
    195.06/425.69 = 425.69/x
  3. Step 3: Cross multiply
    195.06x = 425.69 × 425.69
  4. Step 4: Simplify right side
    195.06x = 181,209.85
  5. Step 5: Solve for x
    x = 181,209.85/195.06
  6. Step 6: Final answer
    x = 928.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.