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Finding the Third Proportional to 174,899.25 and 270,079.31

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Solution

The third proportional to 174,899.25 and 270,079.31 is: 417,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,899.25 : 270,079.31 = 270,079.31 : x
  2. Step 2: Convert to fraction form
    174,899.25/270,079.31 = 270,079.31/x
  3. Step 3: Cross multiply
    174,899.25x = 270,079.31 × 270,079.31
  4. Step 4: Simplify right side
    174,899.25x = 72,942,835,040.47
  5. Step 5: Solve for x
    x = 72,942,835,040.47/174,899.25
  6. Step 6: Final answer
    x = 417,056.31

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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.