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Finding the Third Proportional to 167,424 and 238,636

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Solution

The third proportional to 167,424 and 238,636 is: 340,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,424 : 238,636 = 238,636 : x
  2. Step 2: Convert to fraction form
    167,424/238,636 = 238,636/x
  3. Step 3: Cross multiply
    167,424x = 238,636 × 238,636
  4. Step 4: Simplify right side
    167,424x = 56,947,140,496
  5. Step 5: Solve for x
    x = 56,947,140,496/167,424
  6. Step 6: Final answer
    x = 340,137.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.