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Finding the Third Proportional to 174,958.13 and 357,297.75

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Solution

The third proportional to 174,958.13 and 357,297.75 is: 729,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,958.13 : 357,297.75 = 357,297.75 : x
  2. Step 2: Convert to fraction form
    174,958.13/357,297.75 = 357,297.75/x
  3. Step 3: Cross multiply
    174,958.13x = 357,297.75 × 357,297.75
  4. Step 4: Simplify right side
    174,958.13x = 127,661,682,155.06
  5. Step 5: Solve for x
    x = 127,661,682,155.06/174,958.13
  6. Step 6: Final answer
    x = 729,669.93

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.