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Finding the Third Proportional to 171,386 and 263,595

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Solution

The third proportional to 171,386 and 263,595 is: 405,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,386 : 263,595 = 263,595 : x
  2. Step 2: Convert to fraction form
    171,386/263,595 = 263,595/x
  3. Step 3: Cross multiply
    171,386x = 263,595 × 263,595
  4. Step 4: Simplify right side
    171,386x = 69,482,324,025
  5. Step 5: Solve for x
    x = 69,482,324,025/171,386
  6. Step 6: Final answer
    x = 405,414.23

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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.