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Finding the Third Proportional to 251,183.25 and 351,345.38

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Solution

The third proportional to 251,183.25 and 351,345.38 is: 491,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,183.25 : 351,345.38 = 351,345.38 : x
  2. Step 2: Convert to fraction form
    251,183.25/351,345.38 = 351,345.38/x
  3. Step 3: Cross multiply
    251,183.25x = 351,345.38 × 351,345.38
  4. Step 4: Simplify right side
    251,183.25x = 123,443,572,533.89
  5. Step 5: Solve for x
    x = 123,443,572,533.89/251,183.25
  6. Step 6: Final answer
    x = 491,448.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.