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Finding the Third Proportional to 167,911 and 232,725

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Solution

The third proportional to 167,911 and 232,725 is: 322,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,911 : 232,725 = 232,725 : x
  2. Step 2: Convert to fraction form
    167,911/232,725 = 232,725/x
  3. Step 3: Cross multiply
    167,911x = 232,725 × 232,725
  4. Step 4: Simplify right side
    167,911x = 54,160,925,625
  5. Step 5: Solve for x
    x = 54,160,925,625/167,911
  6. Step 6: Final answer
    x = 322,557.34

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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.