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Finding the Third Proportional to 133,285.50 and 318,664.13

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Solution

The third proportional to 133,285.50 and 318,664.13 is: 761,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,285.50 : 318,664.13 = 318,664.13 : x
  2. Step 2: Convert to fraction form
    133,285.50/318,664.13 = 318,664.13/x
  3. Step 3: Cross multiply
    133,285.50x = 318,664.13 × 318,664.13
  4. Step 4: Simplify right side
    133,285.50x = 101,546,824,562.02
  5. Step 5: Solve for x
    x = 101,546,824,562.02/133,285.50
  6. Step 6: Final answer
    x = 761,874.51

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.