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Finding the Third Proportional to 103,670 and 226,817

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Solution

The third proportional to 103,670 and 226,817 is: 496,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 226,817 = 226,817 : x
  2. Step 2: Convert to fraction form
    103,670/226,817 = 226,817/x
  3. Step 3: Cross multiply
    103,670x = 226,817 × 226,817
  4. Step 4: Simplify right side
    103,670x = 51,445,951,489
  5. Step 5: Solve for x
    x = 51,445,951,489/103,670
  6. Step 6: Final answer
    x = 496,247.24

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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.