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Finding the Third Proportional to 173,784 and 376,469

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Solution

The third proportional to 173,784 and 376,469 is: 815,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,784 : 376,469 = 376,469 : x
  2. Step 2: Convert to fraction form
    173,784/376,469 = 376,469/x
  3. Step 3: Cross multiply
    173,784x = 376,469 × 376,469
  4. Step 4: Simplify right side
    173,784x = 141,728,907,961
  5. Step 5: Solve for x
    x = 141,728,907,961/173,784
  6. Step 6: Final answer
    x = 815,546.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.