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Finding the Third Proportional to 159,056 and 345,743

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Solution

The third proportional to 159,056 and 345,743 is: 751,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,056 : 345,743 = 345,743 : x
  2. Step 2: Convert to fraction form
    159,056/345,743 = 345,743/x
  3. Step 3: Cross multiply
    159,056x = 345,743 × 345,743
  4. Step 4: Simplify right side
    159,056x = 119,538,222,049
  5. Step 5: Solve for x
    x = 119,538,222,049/159,056
  6. Step 6: Final answer
    x = 751,548.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.