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Finding the Third Proportional to 149,071.50 and 223,016.25

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Solution

The third proportional to 149,071.50 and 223,016.25 is: 333,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,071.50 : 223,016.25 = 223,016.25 : x
  2. Step 2: Convert to fraction form
    149,071.50/223,016.25 = 223,016.25/x
  3. Step 3: Cross multiply
    149,071.50x = 223,016.25 × 223,016.25
  4. Step 4: Simplify right side
    149,071.50x = 49,736,247,764.06
  5. Step 5: Solve for x
    x = 49,736,247,764.06/149,071.50
  6. Step 6: Final answer
    x = 333,640.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.