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Finding the Third Proportional to 76,314 and 159,594

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Solution

The third proportional to 76,314 and 159,594 is: 333,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314 : 159,594 = 159,594 : x
  2. Step 2: Convert to fraction form
    76,314/159,594 = 159,594/x
  3. Step 3: Cross multiply
    76,314x = 159,594 × 159,594
  4. Step 4: Simplify right side
    76,314x = 25,470,244,836
  5. Step 5: Solve for x
    x = 25,470,244,836/76,314
  6. Step 6: Final answer
    x = 333,755.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.