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Finding the Third Proportional to 167,656.50 and 365,440.50

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Solution

The third proportional to 167,656.50 and 365,440.50 is: 796,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,656.50 : 365,440.50 = 365,440.50 : x
  2. Step 2: Convert to fraction form
    167,656.50/365,440.50 = 365,440.50/x
  3. Step 3: Cross multiply
    167,656.50x = 365,440.50 × 365,440.50
  4. Step 4: Simplify right side
    167,656.50x = 133,546,759,040.25
  5. Step 5: Solve for x
    x = 133,546,759,040.25/167,656.50
  6. Step 6: Final answer
    x = 796,549.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.