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Finding the Third Proportional to 150,083.63 and 327,869.25

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Solution

The third proportional to 150,083.63 and 327,869.25 is: 716,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,083.63 : 327,869.25 = 327,869.25 : x
  2. Step 2: Convert to fraction form
    150,083.63/327,869.25 = 327,869.25/x
  3. Step 3: Cross multiply
    150,083.63x = 327,869.25 × 327,869.25
  4. Step 4: Simplify right side
    150,083.63x = 107,498,245,095.56
  5. Step 5: Solve for x
    x = 107,498,245,095.56/150,083.63
  6. Step 6: Final answer
    x = 716,255.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.