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Finding the Third Proportional to 184,419 and 284,816

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Solution

The third proportional to 184,419 and 284,816 is: 439,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,419 : 284,816 = 284,816 : x
  2. Step 2: Convert to fraction form
    184,419/284,816 = 284,816/x
  3. Step 3: Cross multiply
    184,419x = 284,816 × 284,816
  4. Step 4: Simplify right side
    184,419x = 81,120,153,856
  5. Step 5: Solve for x
    x = 81,120,153,856/184,419
  6. Step 6: Final answer
    x = 439,868.74

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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.