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Finding the Third Proportional to 150,396.75 and 321,094.13

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Solution

The third proportional to 150,396.75 and 321,094.13 is: 685,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,396.75 : 321,094.13 = 321,094.13 : x
  2. Step 2: Convert to fraction form
    150,396.75/321,094.13 = 321,094.13/x
  3. Step 3: Cross multiply
    150,396.75x = 321,094.13 × 321,094.13
  4. Step 4: Simplify right side
    150,396.75x = 103,101,437,109.52
  5. Step 5: Solve for x
    x = 103,101,437,109.52/150,396.75
  6. Step 6: Final answer
    x = 685,529.69

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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.