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Finding the Third Proportional to 184,898 and 378,558

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Solution

The third proportional to 184,898 and 378,558 is: 775,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,898 : 378,558 = 378,558 : x
  2. Step 2: Convert to fraction form
    184,898/378,558 = 378,558/x
  3. Step 3: Cross multiply
    184,898x = 378,558 × 378,558
  4. Step 4: Simplify right side
    184,898x = 143,306,159,364
  5. Step 5: Solve for x
    x = 143,306,159,364/184,898
  6. Step 6: Final answer
    x = 775,055.22

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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.