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Finding the Third Proportional to 184,926 and 398,337

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Solution

The third proportional to 184,926 and 398,337 is: 858,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,926 : 398,337 = 398,337 : x
  2. Step 2: Convert to fraction form
    184,926/398,337 = 398,337/x
  3. Step 3: Cross multiply
    184,926x = 398,337 × 398,337
  4. Step 4: Simplify right side
    184,926x = 158,672,365,569
  5. Step 5: Solve for x
    x = 158,672,365,569/184,926
  6. Step 6: Final answer
    x = 858,031.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.