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Finding the Third Proportional to 150,441.05 and 307,799.16

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Solution

The third proportional to 150,441.05 and 307,799.16 is: 629,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,441.05 : 307,799.16 = 307,799.16 : x
  2. Step 2: Convert to fraction form
    150,441.05/307,799.16 = 307,799.16/x
  3. Step 3: Cross multiply
    150,441.05x = 307,799.16 × 307,799.16
  4. Step 4: Simplify right side
    150,441.05x = 94,740,320,588.21
  5. Step 5: Solve for x
    x = 94,740,320,588.21/150,441.05
  6. Step 6: Final answer
    x = 629,750.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.