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Finding the Third Proportional to 164,628 and 354,906

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Solution

The third proportional to 164,628 and 354,906 is: 765,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,628 : 354,906 = 354,906 : x
  2. Step 2: Convert to fraction form
    164,628/354,906 = 354,906/x
  3. Step 3: Cross multiply
    164,628x = 354,906 × 354,906
  4. Step 4: Simplify right side
    164,628x = 125,958,268,836
  5. Step 5: Solve for x
    x = 125,958,268,836/164,628
  6. Step 6: Final answer
    x = 765,108.42

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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.