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Finding the Third Proportional to 171,307 and 256,976

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Solution

The third proportional to 171,307 and 256,976 is: 385,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,307 : 256,976 = 256,976 : x
  2. Step 2: Convert to fraction form
    171,307/256,976 = 256,976/x
  3. Step 3: Cross multiply
    171,307x = 256,976 × 256,976
  4. Step 4: Simplify right side
    171,307x = 66,036,664,576
  5. Step 5: Solve for x
    x = 66,036,664,576/171,307
  6. Step 6: Final answer
    x = 385,487.25

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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.