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Finding the Third Proportional to 185,664 and 323,694

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Solution

The third proportional to 185,664 and 323,694 is: 564,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,664 : 323,694 = 323,694 : x
  2. Step 2: Convert to fraction form
    185,664/323,694 = 323,694/x
  3. Step 3: Cross multiply
    185,664x = 323,694 × 323,694
  4. Step 4: Simplify right side
    185,664x = 104,777,805,636
  5. Step 5: Solve for x
    x = 104,777,805,636/185,664
  6. Step 6: Final answer
    x = 564,340.99

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.