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Finding the Third Proportional to 184,254 and 276,327

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Solution

The third proportional to 184,254 and 276,327 is: 414,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,254 : 276,327 = 276,327 : x
  2. Step 2: Convert to fraction form
    184,254/276,327 = 276,327/x
  3. Step 3: Cross multiply
    184,254x = 276,327 × 276,327
  4. Step 4: Simplify right side
    184,254x = 76,356,610,929
  5. Step 5: Solve for x
    x = 76,356,610,929/184,254
  6. Step 6: Final answer
    x = 414,409.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.