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Finding the Third Proportional to 184,146 and 284,355

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Solution

The third proportional to 184,146 and 284,355 is: 439,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,146 : 284,355 = 284,355 : x
  2. Step 2: Convert to fraction form
    184,146/284,355 = 284,355/x
  3. Step 3: Cross multiply
    184,146x = 284,355 × 284,355
  4. Step 4: Simplify right side
    184,146x = 80,857,766,025
  5. Step 5: Solve for x
    x = 80,857,766,025/184,146
  6. Step 6: Final answer
    x = 439,095.97

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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.