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Finding the Third Proportional to 149,953.50 and 225,362.25

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Solution

The third proportional to 149,953.50 and 225,362.25 is: 338,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,953.50 : 225,362.25 = 225,362.25 : x
  2. Step 2: Convert to fraction form
    149,953.50/225,362.25 = 225,362.25/x
  3. Step 3: Cross multiply
    149,953.50x = 225,362.25 × 225,362.25
  4. Step 4: Simplify right side
    149,953.50x = 50,788,143,725.06
  5. Step 5: Solve for x
    x = 50,788,143,725.06/149,953.50
  6. Step 6: Final answer
    x = 338,692.62

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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.