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Finding the Third Proportional to 167,857.50 and 327,148.50

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Solution

The third proportional to 167,857.50 and 327,148.50 is: 637,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,857.50 : 327,148.50 = 327,148.50 : x
  2. Step 2: Convert to fraction form
    167,857.50/327,148.50 = 327,148.50/x
  3. Step 3: Cross multiply
    167,857.50x = 327,148.50 × 327,148.50
  4. Step 4: Simplify right side
    167,857.50x = 107,026,141,052.25
  5. Step 5: Solve for x
    x = 107,026,141,052.25/167,857.50
  6. Step 6: Final answer
    x = 637,601.19

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.