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Finding the Third Proportional to 74,198.25 and 174,975.75

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Solution

The third proportional to 74,198.25 and 174,975.75 is: 412,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,198.25 : 174,975.75 = 174,975.75 : x
  2. Step 2: Convert to fraction form
    74,198.25/174,975.75 = 174,975.75/x
  3. Step 3: Cross multiply
    74,198.25x = 174,975.75 × 174,975.75
  4. Step 4: Simplify right side
    74,198.25x = 30,616,513,088.06
  5. Step 5: Solve for x
    x = 30,616,513,088.06/74,198.25
  6. Step 6: Final answer
    x = 412,631.20

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.