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Finding the Third Proportional to 184,278 and 387,124

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Solution

The third proportional to 184,278 and 387,124 is: 813,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,278 : 387,124 = 387,124 : x
  2. Step 2: Convert to fraction form
    184,278/387,124 = 387,124/x
  3. Step 3: Cross multiply
    184,278x = 387,124 × 387,124
  4. Step 4: Simplify right side
    184,278x = 149,864,991,376
  5. Step 5: Solve for x
    x = 149,864,991,376/184,278
  6. Step 6: Final answer
    x = 813,254.93

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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.