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Finding the Third Proportional to 180,047.25 and 388,007.25

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Solution

The third proportional to 180,047.25 and 388,007.25 is: 836,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,047.25 : 388,007.25 = 388,007.25 : x
  2. Step 2: Convert to fraction form
    180,047.25/388,007.25 = 388,007.25/x
  3. Step 3: Cross multiply
    180,047.25x = 388,007.25 × 388,007.25
  4. Step 4: Simplify right side
    180,047.25x = 150,549,626,052.56
  5. Step 5: Solve for x
    x = 150,549,626,052.56/180,047.25
  6. Step 6: Final answer
    x = 836,167.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.