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Finding the Third Proportional to 176,544 and 270,114.75

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Solution

The third proportional to 176,544 and 270,114.75 is: 413,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,544 : 270,114.75 = 270,114.75 : x
  2. Step 2: Convert to fraction form
    176,544/270,114.75 = 270,114.75/x
  3. Step 3: Cross multiply
    176,544x = 270,114.75 × 270,114.75
  4. Step 4: Simplify right side
    176,544x = 72,961,978,167.56
  5. Step 5: Solve for x
    x = 72,961,978,167.56/176,544
  6. Step 6: Final answer
    x = 413,279.29

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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.