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Finding the Third Proportional to 167,284 and 238,457

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Solution

The third proportional to 167,284 and 238,457 is: 339,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,284 : 238,457 = 238,457 : x
  2. Step 2: Convert to fraction form
    167,284/238,457 = 238,457/x
  3. Step 3: Cross multiply
    167,284x = 238,457 × 238,457
  4. Step 4: Simplify right side
    167,284x = 56,861,740,849
  5. Step 5: Solve for x
    x = 56,861,740,849/167,284
  6. Step 6: Final answer
    x = 339,911.41

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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.