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Finding the Third Proportional to 184,284 and 387,136

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Solution

The third proportional to 184,284 and 387,136 is: 813,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,284 : 387,136 = 387,136 : x
  2. Step 2: Convert to fraction form
    184,284/387,136 = 387,136/x
  3. Step 3: Cross multiply
    184,284x = 387,136 × 387,136
  4. Step 4: Simplify right side
    184,284x = 149,874,282,496
  5. Step 5: Solve for x
    x = 149,874,282,496/184,284
  6. Step 6: Final answer
    x = 813,278.87

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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.