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Finding the Third Proportional to 164,194 and 354,582

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Solution

The third proportional to 164,194 and 354,582 is: 765,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,194 : 354,582 = 354,582 : x
  2. Step 2: Convert to fraction form
    164,194/354,582 = 354,582/x
  3. Step 3: Cross multiply
    164,194x = 354,582 × 354,582
  4. Step 4: Simplify right side
    164,194x = 125,728,394,724
  5. Step 5: Solve for x
    x = 125,728,394,724/164,194
  6. Step 6: Final answer
    x = 765,730.75

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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.