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Finding the Third Proportional to 184,866 and 285,451

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Solution

The third proportional to 184,866 and 285,451 is: 440,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,866 : 285,451 = 285,451 : x
  2. Step 2: Convert to fraction form
    184,866/285,451 = 285,451/x
  3. Step 3: Cross multiply
    184,866x = 285,451 × 285,451
  4. Step 4: Simplify right side
    184,866x = 81,482,273,401
  5. Step 5: Solve for x
    x = 81,482,273,401/184,866
  6. Step 6: Final answer
    x = 440,763.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.