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Finding the Third Proportional to 195.82 and 430.10

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Solution

The third proportional to 195.82 and 430.10 is: 944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 430.10 = 430.10 : x
  2. Step 2: Convert to fraction form
    195.82/430.10 = 430.10/x
  3. Step 3: Cross multiply
    195.82x = 430.10 × 430.10
  4. Step 4: Simplify right side
    195.82x = 184,987.35
  5. Step 5: Solve for x
    x = 184,987.35/195.82
  6. Step 6: Final answer
    x = 944.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.