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Finding the Third Proportional to 184,797.23 and 400,964.24

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Solution

The third proportional to 184,797.23 and 400,964.24 is: 869,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,797.23 : 400,964.24 = 400,964.24 : x
  2. Step 2: Convert to fraction form
    184,797.23/400,964.24 = 400,964.24/x
  3. Step 3: Cross multiply
    184,797.23x = 400,964.24 × 400,964.24
  4. Step 4: Simplify right side
    184,797.23x = 160,772,320,380.46
  5. Step 5: Solve for x
    x = 160,772,320,380.46/184,797.23
  6. Step 6: Final answer
    x = 869,993.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.