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Finding the Third Proportional to 176,490.25 and 270,035.75

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Solution

The third proportional to 176,490.25 and 270,035.75 is: 413,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,490.25 : 270,035.75 = 270,035.75 : x
  2. Step 2: Convert to fraction form
    176,490.25/270,035.75 = 270,035.75/x
  3. Step 3: Cross multiply
    176,490.25x = 270,035.75 × 270,035.75
  4. Step 4: Simplify right side
    176,490.25x = 72,919,306,278.06
  5. Step 5: Solve for x
    x = 72,919,306,278.06/176,490.25
  6. Step 6: Final answer
    x = 413,163.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.