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Finding the Third Proportional to 173,713.50 and 376,857

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Solution

The third proportional to 173,713.50 and 376,857 is: 817,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,713.50 : 376,857 = 376,857 : x
  2. Step 2: Convert to fraction form
    173,713.50/376,857 = 376,857/x
  3. Step 3: Cross multiply
    173,713.50x = 376,857 × 376,857
  4. Step 4: Simplify right side
    173,713.50x = 142,021,198,449
  5. Step 5: Solve for x
    x = 142,021,198,449/173,713.50
  6. Step 6: Final answer
    x = 817,559.94

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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.