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Finding the Third Proportional to 225,016 and 351,384

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Solution

The third proportional to 225,016 and 351,384 is: 548,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,016 : 351,384 = 351,384 : x
  2. Step 2: Convert to fraction form
    225,016/351,384 = 351,384/x
  3. Step 3: Cross multiply
    225,016x = 351,384 × 351,384
  4. Step 4: Simplify right side
    225,016x = 123,470,715,456
  5. Step 5: Solve for x
    x = 123,470,715,456/225,016
  6. Step 6: Final answer
    x = 548,719.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.