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Finding the Third Proportional to 185,184 and 399,204

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Solution

The third proportional to 185,184 and 399,204 is: 860,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,184 : 399,204 = 399,204 : x
  2. Step 2: Convert to fraction form
    185,184/399,204 = 399,204/x
  3. Step 3: Cross multiply
    185,184x = 399,204 × 399,204
  4. Step 4: Simplify right side
    185,184x = 159,363,833,616
  5. Step 5: Solve for x
    x = 159,363,833,616/185,184
  6. Step 6: Final answer
    x = 860,570.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.