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Finding the Third Proportional to 150,462.56 and 306,179.79

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Solution

The third proportional to 150,462.56 and 306,179.79 is: 623,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,462.56 : 306,179.79 = 306,179.79 : x
  2. Step 2: Convert to fraction form
    150,462.56/306,179.79 = 306,179.79/x
  3. Step 3: Cross multiply
    150,462.56x = 306,179.79 × 306,179.79
  4. Step 4: Simplify right side
    150,462.56x = 93,746,063,230.36
  5. Step 5: Solve for x
    x = 93,746,063,230.36/150,462.56
  6. Step 6: Final answer
    x = 623,052.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.