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Finding the Third Proportional to 164,181 and 353,994

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Solution

The third proportional to 164,181 and 353,994 is: 763,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,181 : 353,994 = 353,994 : x
  2. Step 2: Convert to fraction form
    164,181/353,994 = 353,994/x
  3. Step 3: Cross multiply
    164,181x = 353,994 × 353,994
  4. Step 4: Simplify right side
    164,181x = 125,311,752,036
  5. Step 5: Solve for x
    x = 125,311,752,036/164,181
  6. Step 6: Final answer
    x = 763,253.68

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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.