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Finding the Third Proportional to 196,958 and 286,825

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Solution

The third proportional to 196,958 and 286,825 is: 417,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,958 : 286,825 = 286,825 : x
  2. Step 2: Convert to fraction form
    196,958/286,825 = 286,825/x
  3. Step 3: Cross multiply
    196,958x = 286,825 × 286,825
  4. Step 4: Simplify right side
    196,958x = 82,268,580,625
  5. Step 5: Solve for x
    x = 82,268,580,625/196,958
  6. Step 6: Final answer
    x = 417,696.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.