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Finding the Third Proportional to 146,197 and 303,886

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Solution

The third proportional to 146,197 and 303,886 is: 631,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,197 : 303,886 = 303,886 : x
  2. Step 2: Convert to fraction form
    146,197/303,886 = 303,886/x
  3. Step 3: Cross multiply
    146,197x = 303,886 × 303,886
  4. Step 4: Simplify right side
    146,197x = 92,346,700,996
  5. Step 5: Solve for x
    x = 92,346,700,996/146,197
  6. Step 6: Final answer
    x = 631,659.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.