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Finding the Third Proportional to 164,344 and 354,878

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Solution

The third proportional to 164,344 and 354,878 is: 766,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,344 : 354,878 = 354,878 : x
  2. Step 2: Convert to fraction form
    164,344/354,878 = 354,878/x
  3. Step 3: Cross multiply
    164,344x = 354,878 × 354,878
  4. Step 4: Simplify right side
    164,344x = 125,938,394,884
  5. Step 5: Solve for x
    x = 125,938,394,884/164,344
  6. Step 6: Final answer
    x = 766,309.66

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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.