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Finding the Third Proportional to 207,888 and 324,000

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Solution

The third proportional to 207,888 and 324,000 is: 504,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,888 : 324,000 = 324,000 : x
  2. Step 2: Convert to fraction form
    207,888/324,000 = 324,000/x
  3. Step 3: Cross multiply
    207,888x = 324,000 × 324,000
  4. Step 4: Simplify right side
    207,888x = 104,976,000,000
  5. Step 5: Solve for x
    x = 104,976,000,000/207,888
  6. Step 6: Final answer
    x = 504,964.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.