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Finding the Third Proportional to 167,787.50 and 368,731

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Solution

The third proportional to 167,787.50 and 368,731 is: 810,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,787.50 : 368,731 = 368,731 : x
  2. Step 2: Convert to fraction form
    167,787.50/368,731 = 368,731/x
  3. Step 3: Cross multiply
    167,787.50x = 368,731 × 368,731
  4. Step 4: Simplify right side
    167,787.50x = 135,962,550,361
  5. Step 5: Solve for x
    x = 135,962,550,361/167,787.50
  6. Step 6: Final answer
    x = 810,325.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.