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Finding the Third Proportional to 150,324.19 and 313,086.94

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Solution

The third proportional to 150,324.19 and 313,086.94 is: 652,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,324.19 : 313,086.94 = 313,086.94 : x
  2. Step 2: Convert to fraction form
    150,324.19/313,086.94 = 313,086.94/x
  3. Step 3: Cross multiply
    150,324.19x = 313,086.94 × 313,086.94
  4. Step 4: Simplify right side
    150,324.19x = 98,023,430,433.13
  5. Step 5: Solve for x
    x = 98,023,430,433.13/150,324.19
  6. Step 6: Final answer
    x = 652,080.23

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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.