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Finding the Third Proportional to 168,921 and 367,046

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Solution

The third proportional to 168,921 and 367,046 is: 797,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,921 : 367,046 = 367,046 : x
  2. Step 2: Convert to fraction form
    168,921/367,046 = 367,046/x
  3. Step 3: Cross multiply
    168,921x = 367,046 × 367,046
  4. Step 4: Simplify right side
    168,921x = 134,722,766,116
  5. Step 5: Solve for x
    x = 134,722,766,116/168,921
  6. Step 6: Final answer
    x = 797,548.95

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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.