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Finding the Third Proportional to 167,869 and 343,494.50

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Solution

The third proportional to 167,869 and 343,494.50 is: 702,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,869 : 343,494.50 = 343,494.50 : x
  2. Step 2: Convert to fraction form
    167,869/343,494.50 = 343,494.50/x
  3. Step 3: Cross multiply
    167,869x = 343,494.50 × 343,494.50
  4. Step 4: Simplify right side
    167,869x = 117,988,471,530.25
  5. Step 5: Solve for x
    x = 117,988,471,530.25/167,869
  6. Step 6: Final answer
    x = 702,860.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.