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Finding the Third Proportional to 160,933 and 342,655

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Solution

The third proportional to 160,933 and 342,655 is: 729,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,933 : 342,655 = 342,655 : x
  2. Step 2: Convert to fraction form
    160,933/342,655 = 342,655/x
  3. Step 3: Cross multiply
    160,933x = 342,655 × 342,655
  4. Step 4: Simplify right side
    160,933x = 117,412,449,025
  5. Step 5: Solve for x
    x = 117,412,449,025/160,933
  6. Step 6: Final answer
    x = 729,573.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.