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Finding the Third Proportional to 162,084 and 348,144

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Solution

The third proportional to 162,084 and 348,144 is: 747,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,084 : 348,144 = 348,144 : x
  2. Step 2: Convert to fraction form
    162,084/348,144 = 348,144/x
  3. Step 3: Cross multiply
    162,084x = 348,144 × 348,144
  4. Step 4: Simplify right side
    162,084x = 121,204,244,736
  5. Step 5: Solve for x
    x = 121,204,244,736/162,084
  6. Step 6: Final answer
    x = 747,786.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.