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Finding the Third Proportional to 226,615 and 333,658

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Solution

The third proportional to 226,615 and 333,658 is: 491,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,615 : 333,658 = 333,658 : x
  2. Step 2: Convert to fraction form
    226,615/333,658 = 333,658/x
  3. Step 3: Cross multiply
    226,615x = 333,658 × 333,658
  4. Step 4: Simplify right side
    226,615x = 111,327,660,964
  5. Step 5: Solve for x
    x = 111,327,660,964/226,615
  6. Step 6: Final answer
    x = 491,263.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.