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Finding the Third Proportional to 207,036 and 303,993

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Solution

The third proportional to 207,036 and 303,993 is: 446,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,036 : 303,993 = 303,993 : x
  2. Step 2: Convert to fraction form
    207,036/303,993 = 303,993/x
  3. Step 3: Cross multiply
    207,036x = 303,993 × 303,993
  4. Step 4: Simplify right side
    207,036x = 92,411,744,049
  5. Step 5: Solve for x
    x = 92,411,744,049/207,036
  6. Step 6: Final answer
    x = 446,355.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.