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Finding the Third Proportional to 184,282 and 387,134

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Solution

The third proportional to 184,282 and 387,134 is: 813,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,282 : 387,134 = 387,134 : x
  2. Step 2: Convert to fraction form
    184,282/387,134 = 387,134/x
  3. Step 3: Cross multiply
    184,282x = 387,134 × 387,134
  4. Step 4: Simplify right side
    184,282x = 149,872,733,956
  5. Step 5: Solve for x
    x = 149,872,733,956/184,282
  6. Step 6: Final answer
    x = 813,279.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.