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Finding the Third Proportional to 159,077 and 233,266

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Solution

The third proportional to 159,077 and 233,266 is: 342,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,077 : 233,266 = 233,266 : x
  2. Step 2: Convert to fraction form
    159,077/233,266 = 233,266/x
  3. Step 3: Cross multiply
    159,077x = 233,266 × 233,266
  4. Step 4: Simplify right side
    159,077x = 54,413,026,756
  5. Step 5: Solve for x
    x = 54,413,026,756/159,077
  6. Step 6: Final answer
    x = 342,054.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.