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Finding the Third Proportional to 190,299.38 and 283,398.75

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Solution

The third proportional to 190,299.38 and 283,398.75 is: 422,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,299.38 : 283,398.75 = 283,398.75 : x
  2. Step 2: Convert to fraction form
    190,299.38/283,398.75 = 283,398.75/x
  3. Step 3: Cross multiply
    190,299.38x = 283,398.75 × 283,398.75
  4. Step 4: Simplify right side
    190,299.38x = 80,314,851,501.56
  5. Step 5: Solve for x
    x = 80,314,851,501.56/190,299.38
  6. Step 6: Final answer
    x = 422,044.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.