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Finding the Third Proportional to 185,284 and 399,944

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Solution

The third proportional to 185,284 and 399,944 is: 863,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,284 : 399,944 = 399,944 : x
  2. Step 2: Convert to fraction form
    185,284/399,944 = 399,944/x
  3. Step 3: Cross multiply
    185,284x = 399,944 × 399,944
  4. Step 4: Simplify right side
    185,284x = 159,955,203,136
  5. Step 5: Solve for x
    x = 159,955,203,136/185,284
  6. Step 6: Final answer
    x = 863,297.44

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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.