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Finding the Third Proportional to 171,297 and 256,941

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Solution

The third proportional to 171,297 and 256,941 is: 385,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,297 : 256,941 = 256,941 : x
  2. Step 2: Convert to fraction form
    171,297/256,941 = 256,941/x
  3. Step 3: Cross multiply
    171,297x = 256,941 × 256,941
  4. Step 4: Simplify right side
    171,297x = 66,018,677,481
  5. Step 5: Solve for x
    x = 66,018,677,481/171,297
  6. Step 6: Final answer
    x = 385,404.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.