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Finding the Third Proportional to 184,498.50 and 397,311

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Solution

The third proportional to 184,498.50 and 397,311 is: 855,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,498.50 : 397,311 = 397,311 : x
  2. Step 2: Convert to fraction form
    184,498.50/397,311 = 397,311/x
  3. Step 3: Cross multiply
    184,498.50x = 397,311 × 397,311
  4. Step 4: Simplify right side
    184,498.50x = 157,856,030,721
  5. Step 5: Solve for x
    x = 157,856,030,721/184,498.50
  6. Step 6: Final answer
    x = 855,595.20

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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.