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Finding the Third Proportional to 159,212 and 347,948

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Solution

The third proportional to 159,212 and 347,948 is: 760,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,212 : 347,948 = 347,948 : x
  2. Step 2: Convert to fraction form
    159,212/347,948 = 347,948/x
  3. Step 3: Cross multiply
    159,212x = 347,948 × 347,948
  4. Step 4: Simplify right side
    159,212x = 121,067,810,704
  5. Step 5: Solve for x
    x = 121,067,810,704/159,212
  6. Step 6: Final answer
    x = 760,418.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.