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Finding the Third Proportional to 168,923 and 364,030

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Solution

The third proportional to 168,923 and 364,030 is: 784,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,923 : 364,030 = 364,030 : x
  2. Step 2: Convert to fraction form
    168,923/364,030 = 364,030/x
  3. Step 3: Cross multiply
    168,923x = 364,030 × 364,030
  4. Step 4: Simplify right side
    168,923x = 132,517,840,900
  5. Step 5: Solve for x
    x = 132,517,840,900/168,923
  6. Step 6: Final answer
    x = 784,486.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.