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Finding the Third Proportional to 185,493 and 400,308

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Solution

The third proportional to 185,493 and 400,308 is: 863,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,493 : 400,308 = 400,308 : x
  2. Step 2: Convert to fraction form
    185,493/400,308 = 400,308/x
  3. Step 3: Cross multiply
    185,493x = 400,308 × 400,308
  4. Step 4: Simplify right side
    185,493x = 160,246,494,864
  5. Step 5: Solve for x
    x = 160,246,494,864/185,493
  6. Step 6: Final answer
    x = 863,895.11

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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.