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Finding the Third Proportional to 219,165.75 and 330,193.13

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Solution

The third proportional to 219,165.75 and 330,193.13 is: 497,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,165.75 : 330,193.13 = 330,193.13 : x
  2. Step 2: Convert to fraction form
    219,165.75/330,193.13 = 330,193.13/x
  3. Step 3: Cross multiply
    219,165.75x = 330,193.13 × 330,193.13
  4. Step 4: Simplify right side
    219,165.75x = 109,027,499,797.27
  5. Step 5: Solve for x
    x = 109,027,499,797.27/219,165.75
  6. Step 6: Final answer
    x = 497,465.96

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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.