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Finding the Third Proportional to 175,510.50 and 271,635

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Solution

The third proportional to 175,510.50 and 271,635 is: 420,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.50 : 271,635 = 271,635 : x
  2. Step 2: Convert to fraction form
    175,510.50/271,635 = 271,635/x
  3. Step 3: Cross multiply
    175,510.50x = 271,635 × 271,635
  4. Step 4: Simplify right side
    175,510.50x = 73,785,573,225
  5. Step 5: Solve for x
    x = 73,785,573,225/175,510.50
  6. Step 6: Final answer
    x = 420,405.46

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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.