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Finding the Third Proportional to 131,652 and 285,174

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Solution

The third proportional to 131,652 and 285,174 is: 617,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,652 : 285,174 = 285,174 : x
  2. Step 2: Convert to fraction form
    131,652/285,174 = 285,174/x
  3. Step 3: Cross multiply
    131,652x = 285,174 × 285,174
  4. Step 4: Simplify right side
    131,652x = 81,324,210,276
  5. Step 5: Solve for x
    x = 81,324,210,276/131,652
  6. Step 6: Final answer
    x = 617,721.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.