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Finding the Third Proportional to 167,914.50 and 232,731

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Solution

The third proportional to 167,914.50 and 232,731 is: 322,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,914.50 : 232,731 = 232,731 : x
  2. Step 2: Convert to fraction form
    167,914.50/232,731 = 232,731/x
  3. Step 3: Cross multiply
    167,914.50x = 232,731 × 232,731
  4. Step 4: Simplify right side
    167,914.50x = 54,163,718,361
  5. Step 5: Solve for x
    x = 54,163,718,361/167,914.50
  6. Step 6: Final answer
    x = 322,567.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.