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Finding the Third Proportional to 188,766 and 419,490

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Solution

The third proportional to 188,766 and 419,490 is: 932,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,766 : 419,490 = 419,490 : x
  2. Step 2: Convert to fraction form
    188,766/419,490 = 419,490/x
  3. Step 3: Cross multiply
    188,766x = 419,490 × 419,490
  4. Step 4: Simplify right side
    188,766x = 175,971,860,100
  5. Step 5: Solve for x
    x = 175,971,860,100/188,766
  6. Step 6: Final answer
    x = 932,222.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.