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Finding the Third Proportional to 173,392 and 374,701

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Solution

The third proportional to 173,392 and 374,701 is: 809,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,392 : 374,701 = 374,701 : x
  2. Step 2: Convert to fraction form
    173,392/374,701 = 374,701/x
  3. Step 3: Cross multiply
    173,392x = 374,701 × 374,701
  4. Step 4: Simplify right side
    173,392x = 140,400,839,401
  5. Step 5: Solve for x
    x = 140,400,839,401/173,392
  6. Step 6: Final answer
    x = 809,730.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.