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Finding the Third Proportional to 117,383 and 167,254

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Solution

The third proportional to 117,383 and 167,254 is: 238,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,383 : 167,254 = 167,254 : x
  2. Step 2: Convert to fraction form
    117,383/167,254 = 167,254/x
  3. Step 3: Cross multiply
    117,383x = 167,254 × 167,254
  4. Step 4: Simplify right side
    117,383x = 27,973,900,516
  5. Step 5: Solve for x
    x = 27,973,900,516/117,383
  6. Step 6: Final answer
    x = 238,313.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.