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Finding the Third Proportional to 167,922 and 354,795.75

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Solution

The third proportional to 167,922 and 354,795.75 is: 749,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,922 : 354,795.75 = 354,795.75 : x
  2. Step 2: Convert to fraction form
    167,922/354,795.75 = 354,795.75/x
  3. Step 3: Cross multiply
    167,922x = 354,795.75 × 354,795.75
  4. Step 4: Simplify right side
    167,922x = 125,880,024,218.06
  5. Step 5: Solve for x
    x = 125,880,024,218.06/167,922
  6. Step 6: Final answer
    x = 749,633.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.