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Finding the Third Proportional to 165,067.50 and 343,050

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Solution

The third proportional to 165,067.50 and 343,050 is: 712,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067.50 : 343,050 = 343,050 : x
  2. Step 2: Convert to fraction form
    165,067.50/343,050 = 343,050/x
  3. Step 3: Cross multiply
    165,067.50x = 343,050 × 343,050
  4. Step 4: Simplify right side
    165,067.50x = 117,683,302,500
  5. Step 5: Solve for x
    x = 117,683,302,500/165,067.50
  6. Step 6: Final answer
    x = 712,940.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.