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Finding the Third Proportional to 186,648 and 396,336

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Solution

The third proportional to 186,648 and 396,336 is: 841,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,648 : 396,336 = 396,336 : x
  2. Step 2: Convert to fraction form
    186,648/396,336 = 396,336/x
  3. Step 3: Cross multiply
    186,648x = 396,336 × 396,336
  4. Step 4: Simplify right side
    186,648x = 157,082,224,896
  5. Step 5: Solve for x
    x = 157,082,224,896/186,648
  6. Step 6: Final answer
    x = 841,596.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.