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Finding the Third Proportional to 184,436 and 283,622

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Solution

The third proportional to 184,436 and 283,622 is: 436,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,436 : 283,622 = 283,622 : x
  2. Step 2: Convert to fraction form
    184,436/283,622 = 283,622/x
  3. Step 3: Cross multiply
    184,436x = 283,622 × 283,622
  4. Step 4: Simplify right side
    184,436x = 80,441,438,884
  5. Step 5: Solve for x
    x = 80,441,438,884/184,436
  6. Step 6: Final answer
    x = 436,148.25

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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.