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Finding the Third Proportional to 220,974 and 331,096.50

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Solution

The third proportional to 220,974 and 331,096.50 is: 496,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,974 : 331,096.50 = 331,096.50 : x
  2. Step 2: Convert to fraction form
    220,974/331,096.50 = 331,096.50/x
  3. Step 3: Cross multiply
    220,974x = 331,096.50 × 331,096.50
  4. Step 4: Simplify right side
    220,974x = 109,624,892,312.25
  5. Step 5: Solve for x
    x = 109,624,892,312.25/220,974
  6. Step 6: Final answer
    x = 496,098.60

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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.