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Finding the Third Proportional to 174,976.88 and 361,617.75

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Solution

The third proportional to 174,976.88 and 361,617.75 is: 747,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,976.88 : 361,617.75 = 361,617.75 : x
  2. Step 2: Convert to fraction form
    174,976.88/361,617.75 = 361,617.75/x
  3. Step 3: Cross multiply
    174,976.88x = 361,617.75 × 361,617.75
  4. Step 4: Simplify right side
    174,976.88x = 130,767,397,115.06
  5. Step 5: Solve for x
    x = 130,767,397,115.06/174,976.88
  6. Step 6: Final answer
    x = 747,341.03

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.