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Finding the Third Proportional to 171,649 and 256,501

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Solution

The third proportional to 171,649 and 256,501 is: 383,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,649 : 256,501 = 256,501 : x
  2. Step 2: Convert to fraction form
    171,649/256,501 = 256,501/x
  3. Step 3: Cross multiply
    171,649x = 256,501 × 256,501
  4. Step 4: Simplify right side
    171,649x = 65,792,763,001
  5. Step 5: Solve for x
    x = 65,792,763,001/171,649
  6. Step 6: Final answer
    x = 383,298.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.