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Finding the Third Proportional to 182,334 and 393,828

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Solution

The third proportional to 182,334 and 393,828 is: 850,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,334 : 393,828 = 393,828 : x
  2. Step 2: Convert to fraction form
    182,334/393,828 = 393,828/x
  3. Step 3: Cross multiply
    182,334x = 393,828 × 393,828
  4. Step 4: Simplify right side
    182,334x = 155,100,493,584
  5. Step 5: Solve for x
    x = 155,100,493,584/182,334
  6. Step 6: Final answer
    x = 850,639.45

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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.