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Finding the Third Proportional to 234.14 and 483.47

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Solution

The third proportional to 234.14 and 483.47 is: 998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 483.47 = 483.47 : x
  2. Step 2: Convert to fraction form
    234.14/483.47 = 483.47/x
  3. Step 3: Cross multiply
    234.14x = 483.47 × 483.47
  4. Step 4: Simplify right side
    234.14x = 233,742.03
  5. Step 5: Solve for x
    x = 233,742.03/234.14
  6. Step 6: Final answer
    x = 998.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.