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Finding the Third Proportional to 164,184 and 354,616

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Solution

The third proportional to 164,184 and 354,616 is: 765,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,184 : 354,616 = 354,616 : x
  2. Step 2: Convert to fraction form
    164,184/354,616 = 354,616/x
  3. Step 3: Cross multiply
    164,184x = 354,616 × 354,616
  4. Step 4: Simplify right side
    164,184x = 125,752,507,456
  5. Step 5: Solve for x
    x = 125,752,507,456/164,184
  6. Step 6: Final answer
    x = 765,924.25

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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.