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Finding the Third Proportional to 105,408 and 226,935

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Solution

The third proportional to 105,408 and 226,935 is: 488,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408 : 226,935 = 226,935 : x
  2. Step 2: Convert to fraction form
    105,408/226,935 = 226,935/x
  3. Step 3: Cross multiply
    105,408x = 226,935 × 226,935
  4. Step 4: Simplify right side
    105,408x = 51,499,494,225
  5. Step 5: Solve for x
    x = 51,499,494,225/105,408
  6. Step 6: Final answer
    x = 488,572.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.