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Finding the Third Proportional to 189,660 and 284,994

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Solution

The third proportional to 189,660 and 284,994 is: 428,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,660 : 284,994 = 284,994 : x
  2. Step 2: Convert to fraction form
    189,660/284,994 = 284,994/x
  3. Step 3: Cross multiply
    189,660x = 284,994 × 284,994
  4. Step 4: Simplify right side
    189,660x = 81,221,580,036
  5. Step 5: Solve for x
    x = 81,221,580,036/189,660
  6. Step 6: Final answer
    x = 428,248.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.