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Finding the Third Proportional to 123,183.28 and 233,486.30

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Solution

The third proportional to 123,183.28 and 233,486.30 is: 442,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,183.28 : 233,486.30 = 233,486.30 : x
  2. Step 2: Convert to fraction form
    123,183.28/233,486.30 = 233,486.30/x
  3. Step 3: Cross multiply
    123,183.28x = 233,486.30 × 233,486.30
  4. Step 4: Simplify right side
    123,183.28x = 54,515,850,828.40
  5. Step 5: Solve for x
    x = 54,515,850,828.40/123,183.28
  6. Step 6: Final answer
    x = 442,558.85

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.