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Finding the Third Proportional to 167,901.75 and 232,713

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Solution

The third proportional to 167,901.75 and 232,713 is: 322,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,901.75 : 232,713 = 232,713 : x
  2. Step 2: Convert to fraction form
    167,901.75/232,713 = 232,713/x
  3. Step 3: Cross multiply
    167,901.75x = 232,713 × 232,713
  4. Step 4: Simplify right side
    167,901.75x = 54,155,340,369
  5. Step 5: Solve for x
    x = 54,155,340,369/167,901.75
  6. Step 6: Final answer
    x = 322,541.85

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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.