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Finding the Third Proportional to 173,523.73 and 386,924.34

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Solution

The third proportional to 173,523.73 and 386,924.34 is: 862,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,523.73 : 386,924.34 = 386,924.34 : x
  2. Step 2: Convert to fraction form
    173,523.73/386,924.34 = 386,924.34/x
  3. Step 3: Cross multiply
    173,523.73x = 386,924.34 × 386,924.34
  4. Step 4: Simplify right side
    173,523.73x = 149,710,447,786.37
  5. Step 5: Solve for x
    x = 149,710,447,786.37/173,523.73
  6. Step 6: Final answer
    x = 862,766.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.