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Finding the Third Proportional to 154,069 and 323,042

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Solution

The third proportional to 154,069 and 323,042 is: 677,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,069 : 323,042 = 323,042 : x
  2. Step 2: Convert to fraction form
    154,069/323,042 = 323,042/x
  3. Step 3: Cross multiply
    154,069x = 323,042 × 323,042
  4. Step 4: Simplify right side
    154,069x = 104,356,133,764
  5. Step 5: Solve for x
    x = 104,356,133,764/154,069
  6. Step 6: Final answer
    x = 677,333.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.