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Finding the Third Proportional to 140,883 and 305,649

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Solution

The third proportional to 140,883 and 305,649 is: 663,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,883 : 305,649 = 305,649 : x
  2. Step 2: Convert to fraction form
    140,883/305,649 = 305,649/x
  3. Step 3: Cross multiply
    140,883x = 305,649 × 305,649
  4. Step 4: Simplify right side
    140,883x = 93,421,311,201
  5. Step 5: Solve for x
    x = 93,421,311,201/140,883
  6. Step 6: Final answer
    x = 663,112.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.