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Finding the Third Proportional to 167,388 and 238,644

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Solution

The third proportional to 167,388 and 238,644 is: 340,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,388 : 238,644 = 238,644 : x
  2. Step 2: Convert to fraction form
    167,388/238,644 = 238,644/x
  3. Step 3: Cross multiply
    167,388x = 238,644 × 238,644
  4. Step 4: Simplify right side
    167,388x = 56,950,958,736
  5. Step 5: Solve for x
    x = 56,950,958,736/167,388
  6. Step 6: Final answer
    x = 340,233.22

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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.