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Finding the Third Proportional to 167,318 and 238,507

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Solution

The third proportional to 167,318 and 238,507 is: 339,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,318 : 238,507 = 238,507 : x
  2. Step 2: Convert to fraction form
    167,318/238,507 = 238,507/x
  3. Step 3: Cross multiply
    167,318x = 238,507 × 238,507
  4. Step 4: Simplify right side
    167,318x = 56,885,589,049
  5. Step 5: Solve for x
    x = 56,885,589,049/167,318
  6. Step 6: Final answer
    x = 339,984.87

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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.