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Finding the Third Proportional to 175,418.16 and 271,510.73

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Solution

The third proportional to 175,418.16 and 271,510.73 is: 420,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,418.16 : 271,510.73 = 271,510.73 : x
  2. Step 2: Convert to fraction form
    175,418.16/271,510.73 = 271,510.73/x
  3. Step 3: Cross multiply
    175,418.16x = 271,510.73 × 271,510.73
  4. Step 4: Simplify right side
    175,418.16x = 73,718,078,880.85
  5. Step 5: Solve for x
    x = 73,718,078,880.85/175,418.16
  6. Step 6: Final answer
    x = 420,242.01

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Why These Related Problems?

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