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Finding the Third Proportional to 140,446.41 and 303,339.94

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Solution

The third proportional to 140,446.41 and 303,339.94 is: 655,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,446.41 : 303,339.94 = 303,339.94 : x
  2. Step 2: Convert to fraction form
    140,446.41/303,339.94 = 303,339.94/x
  3. Step 3: Cross multiply
    140,446.41x = 303,339.94 × 303,339.94
  4. Step 4: Simplify right side
    140,446.41x = 92,015,117,682.50
  5. Step 5: Solve for x
    x = 92,015,117,682.50/140,446.41
  6. Step 6: Final answer
    x = 655,161.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.