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Finding the Third Proportional to 184,694 and 395,630

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Solution

The third proportional to 184,694 and 395,630 is: 847,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,694 : 395,630 = 395,630 : x
  2. Step 2: Convert to fraction form
    184,694/395,630 = 395,630/x
  3. Step 3: Cross multiply
    184,694x = 395,630 × 395,630
  4. Step 4: Simplify right side
    184,694x = 156,523,096,900
  5. Step 5: Solve for x
    x = 156,523,096,900/184,694
  6. Step 6: Final answer
    x = 847,472.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.