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Finding the Third Proportional to 175,181 and 270,534.50

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Solution

The third proportional to 175,181 and 270,534.50 is: 417,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,181 : 270,534.50 = 270,534.50 : x
  2. Step 2: Convert to fraction form
    175,181/270,534.50 = 270,534.50/x
  3. Step 3: Cross multiply
    175,181x = 270,534.50 × 270,534.50
  4. Step 4: Simplify right side
    175,181x = 73,188,915,690.25
  5. Step 5: Solve for x
    x = 73,188,915,690.25/175,181
  6. Step 6: Final answer
    x = 417,790.26

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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.