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Finding the Third Proportional to 183,168 and 399,924

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Solution

The third proportional to 183,168 and 399,924 is: 873,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,168 : 399,924 = 399,924 : x
  2. Step 2: Convert to fraction form
    183,168/399,924 = 399,924/x
  3. Step 3: Cross multiply
    183,168x = 399,924 × 399,924
  4. Step 4: Simplify right side
    183,168x = 159,939,205,776
  5. Step 5: Solve for x
    x = 159,939,205,776/183,168
  6. Step 6: Final answer
    x = 873,183.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.