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Finding the Third Proportional to 185,186 and 399,208

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Solution

The third proportional to 185,186 and 399,208 is: 860,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,186 : 399,208 = 399,208 : x
  2. Step 2: Convert to fraction form
    185,186/399,208 = 399,208/x
  3. Step 3: Cross multiply
    185,186x = 399,208 × 399,208
  4. Step 4: Simplify right side
    185,186x = 159,367,027,264
  5. Step 5: Solve for x
    x = 159,367,027,264/185,186
  6. Step 6: Final answer
    x = 860,578.16

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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.