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Finding the Third Proportional to 167,101.13 and 347,972.25

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Solution

The third proportional to 167,101.13 and 347,972.25 is: 724,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,101.13 : 347,972.25 = 347,972.25 : x
  2. Step 2: Convert to fraction form
    167,101.13/347,972.25 = 347,972.25/x
  3. Step 3: Cross multiply
    167,101.13x = 347,972.25 × 347,972.25
  4. Step 4: Simplify right side
    167,101.13x = 121,084,686,770.06
  5. Step 5: Solve for x
    x = 121,084,686,770.06/167,101.13
  6. Step 6: Final answer
    x = 724,619.22

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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.