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Finding the Third Proportional to 185,267 and 399,114

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Solution

The third proportional to 185,267 and 399,114 is: 859,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,267 : 399,114 = 399,114 : x
  2. Step 2: Convert to fraction form
    185,267/399,114 = 399,114/x
  3. Step 3: Cross multiply
    185,267x = 399,114 × 399,114
  4. Step 4: Simplify right side
    185,267x = 159,291,984,996
  5. Step 5: Solve for x
    x = 159,291,984,996/185,267
  6. Step 6: Final answer
    x = 859,796.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.