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Finding the Third Proportional to 192,192.75 and 300,624.75

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Solution

The third proportional to 192,192.75 and 300,624.75 is: 470,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,192.75 : 300,624.75 = 300,624.75 : x
  2. Step 2: Convert to fraction form
    192,192.75/300,624.75 = 300,624.75/x
  3. Step 3: Cross multiply
    192,192.75x = 300,624.75 × 300,624.75
  4. Step 4: Simplify right side
    192,192.75x = 90,375,240,312.56
  5. Step 5: Solve for x
    x = 90,375,240,312.56/192,192.75
  6. Step 6: Final answer
    x = 470,232.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.