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Finding the Third Proportional to 167,683 and 253,692

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Solution

The third proportional to 167,683 and 253,692 is: 383,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,683 : 253,692 = 253,692 : x
  2. Step 2: Convert to fraction form
    167,683/253,692 = 253,692/x
  3. Step 3: Cross multiply
    167,683x = 253,692 × 253,692
  4. Step 4: Simplify right side
    167,683x = 64,359,630,864
  5. Step 5: Solve for x
    x = 64,359,630,864/167,683
  6. Step 6: Final answer
    x = 383,817.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.