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Finding the Third Proportional to 101,416 and 226,152

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Solution

The third proportional to 101,416 and 226,152 is: 504,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,416 : 226,152 = 226,152 : x
  2. Step 2: Convert to fraction form
    101,416/226,152 = 226,152/x
  3. Step 3: Cross multiply
    101,416x = 226,152 × 226,152
  4. Step 4: Simplify right side
    101,416x = 51,144,727,104
  5. Step 5: Solve for x
    x = 51,144,727,104/101,416
  6. Step 6: Final answer
    x = 504,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.