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Finding the Third Proportional to 189,753 and 285,874.50

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Solution

The third proportional to 189,753 and 285,874.50 is: 430,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,753 : 285,874.50 = 285,874.50 : x
  2. Step 2: Convert to fraction form
    189,753/285,874.50 = 285,874.50/x
  3. Step 3: Cross multiply
    189,753x = 285,874.50 × 285,874.50
  4. Step 4: Simplify right side
    189,753x = 81,724,229,750.25
  5. Step 5: Solve for x
    x = 81,724,229,750.25/189,753
  6. Step 6: Final answer
    x = 430,687.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.