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Finding the Third Proportional to 225,296 and 350,868

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Solution

The third proportional to 225,296 and 350,868 is: 546,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,296 : 350,868 = 350,868 : x
  2. Step 2: Convert to fraction form
    225,296/350,868 = 350,868/x
  3. Step 3: Cross multiply
    225,296x = 350,868 × 350,868
  4. Step 4: Simplify right side
    225,296x = 123,108,353,424
  5. Step 5: Solve for x
    x = 123,108,353,424/225,296
  6. Step 6: Final answer
    x = 546,429.38

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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.