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Finding the Third Proportional to 189,672 and 285,012

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Solution

The third proportional to 189,672 and 285,012 is: 428,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,672 : 285,012 = 285,012 : x
  2. Step 2: Convert to fraction form
    189,672/285,012 = 285,012/x
  3. Step 3: Cross multiply
    189,672x = 285,012 × 285,012
  4. Step 4: Simplify right side
    189,672x = 81,231,840,144
  5. Step 5: Solve for x
    x = 81,231,840,144/189,672
  6. Step 6: Final answer
    x = 428,275.34

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