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Finding the Third Proportional to 80,252 and 189,786

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Solution

The third proportional to 80,252 and 189,786 is: 448,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,252 : 189,786 = 189,786 : x
  2. Step 2: Convert to fraction form
    80,252/189,786 = 189,786/x
  3. Step 3: Cross multiply
    80,252x = 189,786 × 189,786
  4. Step 4: Simplify right side
    80,252x = 36,018,725,796
  5. Step 5: Solve for x
    x = 36,018,725,796/80,252
  6. Step 6: Final answer
    x = 448,820.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.