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Finding the Third Proportional to 154,848 and 231,672

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Solution

The third proportional to 154,848 and 231,672 is: 346,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,848 : 231,672 = 231,672 : x
  2. Step 2: Convert to fraction form
    154,848/231,672 = 231,672/x
  3. Step 3: Cross multiply
    154,848x = 231,672 × 231,672
  4. Step 4: Simplify right side
    154,848x = 53,671,915,584
  5. Step 5: Solve for x
    x = 53,671,915,584/154,848
  6. Step 6: Final answer
    x = 346,610.32

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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.