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Finding the Third Proportional to 171,256 and 263,553

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Solution

The third proportional to 171,256 and 263,553 is: 405,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,256 : 263,553 = 263,553 : x
  2. Step 2: Convert to fraction form
    171,256/263,553 = 263,553/x
  3. Step 3: Cross multiply
    171,256x = 263,553 × 263,553
  4. Step 4: Simplify right side
    171,256x = 69,460,183,809
  5. Step 5: Solve for x
    x = 69,460,183,809/171,256
  6. Step 6: Final answer
    x = 405,592.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.