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Finding the Third Proportional to 225,993 and 306,928

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Solution

The third proportional to 225,993 and 306,928 is: 416,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,993 : 306,928 = 306,928 : x
  2. Step 2: Convert to fraction form
    225,993/306,928 = 306,928/x
  3. Step 3: Cross multiply
    225,993x = 306,928 × 306,928
  4. Step 4: Simplify right side
    225,993x = 94,204,797,184
  5. Step 5: Solve for x
    x = 94,204,797,184/225,993
  6. Step 6: Final answer
    x = 416,848.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.