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Finding the Third Proportional to 103,615 and 226,670

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Solution

The third proportional to 103,615 and 226,670 is: 495,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615 : 226,670 = 226,670 : x
  2. Step 2: Convert to fraction form
    103,615/226,670 = 226,670/x
  3. Step 3: Cross multiply
    103,615x = 226,670 × 226,670
  4. Step 4: Simplify right side
    103,615x = 51,379,288,900
  5. Step 5: Solve for x
    x = 51,379,288,900/103,615
  6. Step 6: Final answer
    x = 495,867.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.