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Finding the Third Proportional to 84,252 and 180,349

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Solution

The third proportional to 84,252 and 180,349 is: 386,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,252 : 180,349 = 180,349 : x
  2. Step 2: Convert to fraction form
    84,252/180,349 = 180,349/x
  3. Step 3: Cross multiply
    84,252x = 180,349 × 180,349
  4. Step 4: Simplify right side
    84,252x = 32,525,761,801
  5. Step 5: Solve for x
    x = 32,525,761,801/84,252
  6. Step 6: Final answer
    x = 386,053.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.