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Finding the Third Proportional to 225,996 and 306,584

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Solution

The third proportional to 225,996 and 306,584 is: 415,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,996 : 306,584 = 306,584 : x
  2. Step 2: Convert to fraction form
    225,996/306,584 = 306,584/x
  3. Step 3: Cross multiply
    225,996x = 306,584 × 306,584
  4. Step 4: Simplify right side
    225,996x = 93,993,749,056
  5. Step 5: Solve for x
    x = 93,993,749,056/225,996
  6. Step 6: Final answer
    x = 415,908.91

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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.