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Finding the Third Proportional to 225,963 and 299,883.38

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Solution

The third proportional to 225,963 and 299,883.38 is: 397,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,963 : 299,883.38 = 299,883.38 : x
  2. Step 2: Convert to fraction form
    225,963/299,883.38 = 299,883.38/x
  3. Step 3: Cross multiply
    225,963x = 299,883.38 × 299,883.38
  4. Step 4: Simplify right side
    225,963x = 89,930,038,601.39
  5. Step 5: Solve for x
    x = 89,930,038,601.39/225,963
  6. Step 6: Final answer
    x = 397,985.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.