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Finding the Third Proportional to 105,156 and 226,350

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Solution

The third proportional to 105,156 and 226,350 is: 487,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,156 : 226,350 = 226,350 : x
  2. Step 2: Convert to fraction form
    105,156/226,350 = 226,350/x
  3. Step 3: Cross multiply
    105,156x = 226,350 × 226,350
  4. Step 4: Simplify right side
    105,156x = 51,234,322,500
  5. Step 5: Solve for x
    x = 51,234,322,500/105,156
  6. Step 6: Final answer
    x = 487,222.06

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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.