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Finding the Third Proportional to 189,002 and 409,036

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Solution

The third proportional to 189,002 and 409,036 is: 885,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,002 : 409,036 = 409,036 : x
  2. Step 2: Convert to fraction form
    189,002/409,036 = 409,036/x
  3. Step 3: Cross multiply
    189,002x = 409,036 × 409,036
  4. Step 4: Simplify right side
    189,002x = 167,310,449,296
  5. Step 5: Solve for x
    x = 167,310,449,296/189,002
  6. Step 6: Final answer
    x = 885,231.10

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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.