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Finding the Third Proportional to 177,367 and 280,806

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Solution

The third proportional to 177,367 and 280,806 is: 444,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,367 : 280,806 = 280,806 : x
  2. Step 2: Convert to fraction form
    177,367/280,806 = 280,806/x
  3. Step 3: Cross multiply
    177,367x = 280,806 × 280,806
  4. Step 4: Simplify right side
    177,367x = 78,852,009,636
  5. Step 5: Solve for x
    x = 78,852,009,636/177,367
  6. Step 6: Final answer
    x = 444,569.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.