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Finding the Third Proportional to 164,556.88 and 354,024.11

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Solution

The third proportional to 164,556.88 and 354,024.11 is: 761,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,556.88 : 354,024.11 = 354,024.11 : x
  2. Step 2: Convert to fraction form
    164,556.88/354,024.11 = 354,024.11/x
  3. Step 3: Cross multiply
    164,556.88x = 354,024.11 × 354,024.11
  4. Step 4: Simplify right side
    164,556.88x = 125,333,067,252.95
  5. Step 5: Solve for x
    x = 125,333,067,252.95/164,556.88
  6. Step 6: Final answer
    x = 761,639.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.