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Finding the Third Proportional to 174,908.25 and 270,092.25

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Solution

The third proportional to 174,908.25 and 270,092.25 is: 417,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,908.25 : 270,092.25 = 270,092.25 : x
  2. Step 2: Convert to fraction form
    174,908.25/270,092.25 = 270,092.25/x
  3. Step 3: Cross multiply
    174,908.25x = 270,092.25 × 270,092.25
  4. Step 4: Simplify right side
    174,908.25x = 72,949,823,510.06
  5. Step 5: Solve for x
    x = 72,949,823,510.06/174,908.25
  6. Step 6: Final answer
    x = 417,074.80

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