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Finding the Third Proportional to 183,467 and 386,828

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Solution

The third proportional to 183,467 and 386,828 is: 815,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,467 : 386,828 = 386,828 : x
  2. Step 2: Convert to fraction form
    183,467/386,828 = 386,828/x
  3. Step 3: Cross multiply
    183,467x = 386,828 × 386,828
  4. Step 4: Simplify right side
    183,467x = 149,635,901,584
  5. Step 5: Solve for x
    x = 149,635,901,584/183,467
  6. Step 6: Final answer
    x = 815,601.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.