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Finding the Third Proportional to 175,360 and 271,225

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Solution

The third proportional to 175,360 and 271,225 is: 419,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,360 : 271,225 = 271,225 : x
  2. Step 2: Convert to fraction form
    175,360/271,225 = 271,225/x
  3. Step 3: Cross multiply
    175,360x = 271,225 × 271,225
  4. Step 4: Simplify right side
    175,360x = 73,563,000,625
  5. Step 5: Solve for x
    x = 73,563,000,625/175,360
  6. Step 6: Final answer
    x = 419,497.04

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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.