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Finding the Third Proportional to 167,211 and 360,544.50

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Solution

The third proportional to 167,211 and 360,544.50 is: 777,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,211 : 360,544.50 = 360,544.50 : x
  2. Step 2: Convert to fraction form
    167,211/360,544.50 = 360,544.50/x
  3. Step 3: Cross multiply
    167,211x = 360,544.50 × 360,544.50
  4. Step 4: Simplify right side
    167,211x = 129,992,336,480.25
  5. Step 5: Solve for x
    x = 129,992,336,480.25/167,211
  6. Step 6: Final answer
    x = 777,414.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.