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Finding the Third Proportional to 176,027 and 380,116

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Solution

The third proportional to 176,027 and 380,116 is: 820,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,027 : 380,116 = 380,116 : x
  2. Step 2: Convert to fraction form
    176,027/380,116 = 380,116/x
  3. Step 3: Cross multiply
    176,027x = 380,116 × 380,116
  4. Step 4: Simplify right side
    176,027x = 144,488,173,456
  5. Step 5: Solve for x
    x = 144,488,173,456/176,027
  6. Step 6: Final answer
    x = 820,829.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.