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Finding the Third Proportional to 175,344 and 271,200

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Solution

The third proportional to 175,344 and 271,200 is: 419,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,344 : 271,200 = 271,200 : x
  2. Step 2: Convert to fraction form
    175,344/271,200 = 271,200/x
  3. Step 3: Cross multiply
    175,344x = 271,200 × 271,200
  4. Step 4: Simplify right side
    175,344x = 73,549,440,000
  5. Step 5: Solve for x
    x = 73,549,440,000/175,344
  6. Step 6: Final answer
    x = 419,457.98

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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.