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Finding the Third Proportional to 184,900 and 284,262

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Solution

The third proportional to 184,900 and 284,262 is: 437,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,900 : 284,262 = 284,262 : x
  2. Step 2: Convert to fraction form
    184,900/284,262 = 284,262/x
  3. Step 3: Cross multiply
    184,900x = 284,262 × 284,262
  4. Step 4: Simplify right side
    184,900x = 80,804,884,644
  5. Step 5: Solve for x
    x = 80,804,884,644/184,900
  6. Step 6: Final answer
    x = 437,019.39

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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.