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Finding the Third Proportional to 167,114 and 345,298

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Solution

The third proportional to 167,114 and 345,298 is: 713,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,114 : 345,298 = 345,298 : x
  2. Step 2: Convert to fraction form
    167,114/345,298 = 345,298/x
  3. Step 3: Cross multiply
    167,114x = 345,298 × 345,298
  4. Step 4: Simplify right side
    167,114x = 119,230,708,804
  5. Step 5: Solve for x
    x = 119,230,708,804/167,114
  6. Step 6: Final answer
    x = 713,469.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.