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Finding the Third Proportional to 192,990 and 418,986

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Solution

The third proportional to 192,990 and 418,986 is: 909,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,990 : 418,986 = 418,986 : x
  2. Step 2: Convert to fraction form
    192,990/418,986 = 418,986/x
  3. Step 3: Cross multiply
    192,990x = 418,986 × 418,986
  4. Step 4: Simplify right side
    192,990x = 175,549,268,196
  5. Step 5: Solve for x
    x = 175,549,268,196/192,990
  6. Step 6: Final answer
    x = 909,628.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.