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Finding the Third Proportional to 159,467.25 and 256,941

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Solution

The third proportional to 159,467.25 and 256,941 is: 413,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,467.25 : 256,941 = 256,941 : x
  2. Step 2: Convert to fraction form
    159,467.25/256,941 = 256,941/x
  3. Step 3: Cross multiply
    159,467.25x = 256,941 × 256,941
  4. Step 4: Simplify right side
    159,467.25x = 66,018,677,481
  5. Step 5: Solve for x
    x = 66,018,677,481/159,467.25
  6. Step 6: Final answer
    x = 413,995.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.