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Finding the Third Proportional to 183,783 and 395,725

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Solution

The third proportional to 183,783 and 395,725 is: 852,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,783 : 395,725 = 395,725 : x
  2. Step 2: Convert to fraction form
    183,783/395,725 = 395,725/x
  3. Step 3: Cross multiply
    183,783x = 395,725 × 395,725
  4. Step 4: Simplify right side
    183,783x = 156,598,275,625
  5. Step 5: Solve for x
    x = 156,598,275,625/183,783
  6. Step 6: Final answer
    x = 852,082.49

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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.