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Finding the Third Proportional to 149,230.50 and 322,093.50

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Solution

The third proportional to 149,230.50 and 322,093.50 is: 695,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,230.50 : 322,093.50 = 322,093.50 : x
  2. Step 2: Convert to fraction form
    149,230.50/322,093.50 = 322,093.50/x
  3. Step 3: Cross multiply
    149,230.50x = 322,093.50 × 322,093.50
  4. Step 4: Simplify right side
    149,230.50x = 103,744,222,742.25
  5. Step 5: Solve for x
    x = 103,744,222,742.25/149,230.50
  6. Step 6: Final answer
    x = 695,194.50

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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.