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Finding the Third Proportional to 174,973 and 271,451

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Solution

The third proportional to 174,973 and 271,451 is: 421,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,973 : 271,451 = 271,451 : x
  2. Step 2: Convert to fraction form
    174,973/271,451 = 271,451/x
  3. Step 3: Cross multiply
    174,973x = 271,451 × 271,451
  4. Step 4: Simplify right side
    174,973x = 73,685,645,401
  5. Step 5: Solve for x
    x = 73,685,645,401/174,973
  6. Step 6: Final answer
    x = 421,125.80

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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.