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Finding the Third Proportional to 184,223 and 330,538

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Solution

The third proportional to 184,223 and 330,538 is: 593,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,223 : 330,538 = 330,538 : x
  2. Step 2: Convert to fraction form
    184,223/330,538 = 330,538/x
  3. Step 3: Cross multiply
    184,223x = 330,538 × 330,538
  4. Step 4: Simplify right side
    184,223x = 109,255,369,444
  5. Step 5: Solve for x
    x = 109,255,369,444/184,223
  6. Step 6: Final answer
    x = 593,060.42

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.