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Finding the Third Proportional to 177,804 and 274,563

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Solution

The third proportional to 177,804 and 274,563 is: 423,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,804 : 274,563 = 274,563 : x
  2. Step 2: Convert to fraction form
    177,804/274,563 = 274,563/x
  3. Step 3: Cross multiply
    177,804x = 274,563 × 274,563
  4. Step 4: Simplify right side
    177,804x = 75,384,840,969
  5. Step 5: Solve for x
    x = 75,384,840,969/177,804
  6. Step 6: Final answer
    x = 423,977.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.