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Finding the Third Proportional to 171,942 and 263,001

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Solution

The third proportional to 171,942 and 263,001 is: 402,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,942 : 263,001 = 263,001 : x
  2. Step 2: Convert to fraction form
    171,942/263,001 = 263,001/x
  3. Step 3: Cross multiply
    171,942x = 263,001 × 263,001
  4. Step 4: Simplify right side
    171,942x = 69,169,526,001
  5. Step 5: Solve for x
    x = 69,169,526,001/171,942
  6. Step 6: Final answer
    x = 402,284.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.