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Finding the Third Proportional to 183,452.63 and 394,031.25

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Solution

The third proportional to 183,452.63 and 394,031.25 is: 846,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,452.63 : 394,031.25 = 394,031.25 : x
  2. Step 2: Convert to fraction form
    183,452.63/394,031.25 = 394,031.25/x
  3. Step 3: Cross multiply
    183,452.63x = 394,031.25 × 394,031.25
  4. Step 4: Simplify right side
    183,452.63x = 155,260,625,976.56
  5. Step 5: Solve for x
    x = 155,260,625,976.56/183,452.63
  6. Step 6: Final answer
    x = 846,325.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.