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Finding the Third Proportional to 227,556 and 341,327.25

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Solution

The third proportional to 227,556 and 341,327.25 is: 511,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,556 : 341,327.25 = 341,327.25 : x
  2. Step 2: Convert to fraction form
    227,556/341,327.25 = 341,327.25/x
  3. Step 3: Cross multiply
    227,556x = 341,327.25 × 341,327.25
  4. Step 4: Simplify right side
    227,556x = 116,504,291,592.56
  5. Step 5: Solve for x
    x = 116,504,291,592.56/227,556
  6. Step 6: Final answer
    x = 511,980.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.