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Finding the Third Proportional to 117,380 and 167,250

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Solution

The third proportional to 117,380 and 167,250 is: 238,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,380 : 167,250 = 167,250 : x
  2. Step 2: Convert to fraction form
    117,380/167,250 = 167,250/x
  3. Step 3: Cross multiply
    117,380x = 167,250 × 167,250
  4. Step 4: Simplify right side
    117,380x = 27,972,562,500
  5. Step 5: Solve for x
    x = 27,972,562,500/117,380
  6. Step 6: Final answer
    x = 238,307.74

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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.