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Finding the Third Proportional to 175,166 and 271,745

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Solution

The third proportional to 175,166 and 271,745 is: 421,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,166 : 271,745 = 271,745 : x
  2. Step 2: Convert to fraction form
    175,166/271,745 = 271,745/x
  3. Step 3: Cross multiply
    175,166x = 271,745 × 271,745
  4. Step 4: Simplify right side
    175,166x = 73,845,345,025
  5. Step 5: Solve for x
    x = 73,845,345,025/175,166
  6. Step 6: Final answer
    x = 421,573.51

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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.