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Finding the Third Proportional to 119,416.50 and 251,793

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Solution

The third proportional to 119,416.50 and 251,793 is: 530,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416.50 : 251,793 = 251,793 : x
  2. Step 2: Convert to fraction form
    119,416.50/251,793 = 251,793/x
  3. Step 3: Cross multiply
    119,416.50x = 251,793 × 251,793
  4. Step 4: Simplify right side
    119,416.50x = 63,399,714,849
  5. Step 5: Solve for x
    x = 63,399,714,849/119,416.50
  6. Step 6: Final answer
    x = 530,912.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.