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Finding the Third Proportional to 117,381 and 167,251.50

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Solution

The third proportional to 117,381 and 167,251.50 is: 238,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,381 : 167,251.50 = 167,251.50 : x
  2. Step 2: Convert to fraction form
    117,381/167,251.50 = 167,251.50/x
  3. Step 3: Cross multiply
    117,381x = 167,251.50 × 167,251.50
  4. Step 4: Simplify right side
    117,381x = 27,973,064,252.25
  5. Step 5: Solve for x
    x = 27,973,064,252.25/117,381
  6. Step 6: Final answer
    x = 238,309.98

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