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Finding the Third Proportional to 221,758.13 and 347,472.75

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Solution

The third proportional to 221,758.13 and 347,472.75 is: 544,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,758.13 : 347,472.75 = 347,472.75 : x
  2. Step 2: Convert to fraction form
    221,758.13/347,472.75 = 347,472.75/x
  3. Step 3: Cross multiply
    221,758.13x = 347,472.75 × 347,472.75
  4. Step 4: Simplify right side
    221,758.13x = 120,737,311,992.56
  5. Step 5: Solve for x
    x = 120,737,311,992.56/221,758.13
  6. Step 6: Final answer
    x = 544,454.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.