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Finding the Third Proportional to 65,905.50 and 155,429.25

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Solution

The third proportional to 65,905.50 and 155,429.25 is: 366,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,905.50 : 155,429.25 = 155,429.25 : x
  2. Step 2: Convert to fraction form
    65,905.50/155,429.25 = 155,429.25/x
  3. Step 3: Cross multiply
    65,905.50x = 155,429.25 × 155,429.25
  4. Step 4: Simplify right side
    65,905.50x = 24,158,251,755.56
  5. Step 5: Solve for x
    x = 24,158,251,755.56/65,905.50
  6. Step 6: Final answer
    x = 366,558.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.