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Finding the Third Proportional to 185,364 and 396,972

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Solution

The third proportional to 185,364 and 396,972 is: 850,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,364 : 396,972 = 396,972 : x
  2. Step 2: Convert to fraction form
    185,364/396,972 = 396,972/x
  3. Step 3: Cross multiply
    185,364x = 396,972 × 396,972
  4. Step 4: Simplify right side
    185,364x = 157,586,768,784
  5. Step 5: Solve for x
    x = 157,586,768,784/185,364
  6. Step 6: Final answer
    x = 850,147.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.