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Finding the Third Proportional to 203,676.96 and 308,136.38

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Solution

The third proportional to 203,676.96 and 308,136.38 is: 466,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,676.96 : 308,136.38 = 308,136.38 : x
  2. Step 2: Convert to fraction form
    203,676.96/308,136.38 = 308,136.38/x
  3. Step 3: Cross multiply
    203,676.96x = 308,136.38 × 308,136.38
  4. Step 4: Simplify right side
    203,676.96x = 94,948,025,598.14
  5. Step 5: Solve for x
    x = 94,948,025,598.14/203,676.96
  6. Step 6: Final answer
    x = 466,169.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.