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Finding the Third Proportional to 150,592.50 and 313,662.38

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Solution

The third proportional to 150,592.50 and 313,662.38 is: 653,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,592.50 : 313,662.38 = 313,662.38 : x
  2. Step 2: Convert to fraction form
    150,592.50/313,662.38 = 313,662.38/x
  3. Step 3: Cross multiply
    150,592.50x = 313,662.38 × 313,662.38
  4. Step 4: Simplify right side
    150,592.50x = 98,384,085,490.64
  5. Step 5: Solve for x
    x = 98,384,085,490.64/150,592.50
  6. Step 6: Final answer
    x = 653,313.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.