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Finding the Third Proportional to 185,796 and 401,400

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Solution

The third proportional to 185,796 and 401,400 is: 867,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,796 : 401,400 = 401,400 : x
  2. Step 2: Convert to fraction form
    185,796/401,400 = 401,400/x
  3. Step 3: Cross multiply
    185,796x = 401,400 × 401,400
  4. Step 4: Simplify right side
    185,796x = 161,121,960,000
  5. Step 5: Solve for x
    x = 161,121,960,000/185,796
  6. Step 6: Final answer
    x = 867,198.22

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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.