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Finding the Third Proportional to 150,012.75 and 320,113.50

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Solution

The third proportional to 150,012.75 and 320,113.50 is: 683,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,012.75 : 320,113.50 = 320,113.50 : x
  2. Step 2: Convert to fraction form
    150,012.75/320,113.50 = 320,113.50/x
  3. Step 3: Cross multiply
    150,012.75x = 320,113.50 × 320,113.50
  4. Step 4: Simplify right side
    150,012.75x = 102,472,652,882.25
  5. Step 5: Solve for x
    x = 102,472,652,882.25/150,012.75
  6. Step 6: Final answer
    x = 683,092.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.