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Finding the Third Proportional to 157,734.84 and 244,704.23

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Solution

The third proportional to 157,734.84 and 244,704.23 is: 379,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,734.84 : 244,704.23 = 244,704.23 : x
  2. Step 2: Convert to fraction form
    157,734.84/244,704.23 = 244,704.23/x
  3. Step 3: Cross multiply
    157,734.84x = 244,704.23 × 244,704.23
  4. Step 4: Simplify right side
    157,734.84x = 59,880,162,321.05
  5. Step 5: Solve for x
    x = 59,880,162,321.05/157,734.84
  6. Step 6: Final answer
    x = 379,625.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.