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Finding the Third Proportional to 151,314 and 219,843

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Solution

The third proportional to 151,314 and 219,843 is: 319,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,314 : 219,843 = 219,843 : x
  2. Step 2: Convert to fraction form
    151,314/219,843 = 219,843/x
  3. Step 3: Cross multiply
    151,314x = 219,843 × 219,843
  4. Step 4: Simplify right side
    151,314x = 48,330,944,649
  5. Step 5: Solve for x
    x = 48,330,944,649/151,314
  6. Step 6: Final answer
    x = 319,408.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.