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Finding the Third Proportional to 184,414 and 284,807

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Solution

The third proportional to 184,414 and 284,807 is: 439,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,414 : 284,807 = 284,807 : x
  2. Step 2: Convert to fraction form
    184,414/284,807 = 284,807/x
  3. Step 3: Cross multiply
    184,414x = 284,807 × 284,807
  4. Step 4: Simplify right side
    184,414x = 81,115,027,249
  5. Step 5: Solve for x
    x = 81,115,027,249/184,414
  6. Step 6: Final answer
    x = 439,852.87

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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.