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Finding the Third Proportional to 195.86 and 425.57

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Solution

The third proportional to 195.86 and 425.57 is: 924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 425.57 = 425.57 : x
  2. Step 2: Convert to fraction form
    195.86/425.57 = 425.57/x
  3. Step 3: Cross multiply
    195.86x = 425.57 × 425.57
  4. Step 4: Simplify right side
    195.86x = 181,106.77
  5. Step 5: Solve for x
    x = 181,106.77/195.86
  6. Step 6: Final answer
    x = 924.70

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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.