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Finding the Third Proportional to 140,784 and 218,174

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Solution

The third proportional to 140,784 and 218,174 is: 338,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,784 : 218,174 = 218,174 : x
  2. Step 2: Convert to fraction form
    140,784/218,174 = 218,174/x
  3. Step 3: Cross multiply
    140,784x = 218,174 × 218,174
  4. Step 4: Simplify right side
    140,784x = 47,599,894,276
  5. Step 5: Solve for x
    x = 47,599,894,276/140,784
  6. Step 6: Final answer
    x = 338,105.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.