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Finding the Third Proportional to 184,932 and 378,624

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Solution

The third proportional to 184,932 and 378,624 is: 775,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,932 : 378,624 = 378,624 : x
  2. Step 2: Convert to fraction form
    184,932/378,624 = 378,624/x
  3. Step 3: Cross multiply
    184,932x = 378,624 × 378,624
  4. Step 4: Simplify right side
    184,932x = 143,356,133,376
  5. Step 5: Solve for x
    x = 143,356,133,376/184,932
  6. Step 6: Final answer
    x = 775,182.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.