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Finding the Third Proportional to 164,215.50 and 354,067.50

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Solution

The third proportional to 164,215.50 and 354,067.50 is: 763,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,215.50 : 354,067.50 = 354,067.50 : x
  2. Step 2: Convert to fraction form
    164,215.50/354,067.50 = 354,067.50/x
  3. Step 3: Cross multiply
    164,215.50x = 354,067.50 × 354,067.50
  4. Step 4: Simplify right side
    164,215.50x = 125,363,794,556.25
  5. Step 5: Solve for x
    x = 125,363,794,556.25/164,215.50
  6. Step 6: Final answer
    x = 763,410.24

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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.