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Finding the Third Proportional to 154,848 and 231,668

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Solution

The third proportional to 154,848 and 231,668 is: 346,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,848 : 231,668 = 231,668 : x
  2. Step 2: Convert to fraction form
    154,848/231,668 = 231,668/x
  3. Step 3: Cross multiply
    154,848x = 231,668 × 231,668
  4. Step 4: Simplify right side
    154,848x = 53,670,062,224
  5. Step 5: Solve for x
    x = 53,670,062,224/154,848
  6. Step 6: Final answer
    x = 346,598.36

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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.