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Finding the Third Proportional to 167,100.75 and 347,971.50

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Solution

The third proportional to 167,100.75 and 347,971.50 is: 724,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,100.75 : 347,971.50 = 347,971.50 : x
  2. Step 2: Convert to fraction form
    167,100.75/347,971.50 = 347,971.50/x
  3. Step 3: Cross multiply
    167,100.75x = 347,971.50 × 347,971.50
  4. Step 4: Simplify right side
    167,100.75x = 121,084,164,812.25
  5. Step 5: Solve for x
    x = 121,084,164,812.25/167,100.75
  6. Step 6: Final answer
    x = 724,617.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.