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Finding the Third Proportional to 175,003 and 373,993

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Solution

The third proportional to 175,003 and 373,993 is: 799,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,003 : 373,993 = 373,993 : x
  2. Step 2: Convert to fraction form
    175,003/373,993 = 373,993/x
  3. Step 3: Cross multiply
    175,003x = 373,993 × 373,993
  4. Step 4: Simplify right side
    175,003x = 139,870,764,049
  5. Step 5: Solve for x
    x = 139,870,764,049/175,003
  6. Step 6: Final answer
    x = 799,247.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.