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Finding the Third Proportional to 70,381.50 and 151,834.78

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Solution

The third proportional to 70,381.50 and 151,834.78 is: 327,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381.50 : 151,834.78 = 151,834.78 : x
  2. Step 2: Convert to fraction form
    70,381.50/151,834.78 = 151,834.78/x
  3. Step 3: Cross multiply
    70,381.50x = 151,834.78 × 151,834.78
  4. Step 4: Simplify right side
    70,381.50x = 23,053,800,797.24
  5. Step 5: Solve for x
    x = 23,053,800,797.24/70,381.50
  6. Step 6: Final answer
    x = 327,554.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.