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Finding the Third Proportional to 119,314 and 167,239.50

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Solution

The third proportional to 119,314 and 167,239.50 is: 234,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314 : 167,239.50 = 167,239.50 : x
  2. Step 2: Convert to fraction form
    119,314/167,239.50 = 167,239.50/x
  3. Step 3: Cross multiply
    119,314x = 167,239.50 × 167,239.50
  4. Step 4: Simplify right side
    119,314x = 27,969,050,360.25
  5. Step 5: Solve for x
    x = 27,969,050,360.25/119,314
  6. Step 6: Final answer
    x = 234,415.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.