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Finding the Third Proportional to 195.61 and 425.16

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Solution

The third proportional to 195.61 and 425.16 is: 924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.61 : 425.16 = 425.16 : x
  2. Step 2: Convert to fraction form
    195.61/425.16 = 425.16/x
  3. Step 3: Cross multiply
    195.61x = 425.16 × 425.16
  4. Step 4: Simplify right side
    195.61x = 180,757.84
  5. Step 5: Solve for x
    x = 180,757.84/195.61
  6. Step 6: Final answer
    x = 924.08

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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.