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Finding the Third Proportional to 164,678 and 354,323

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Solution

The third proportional to 164,678 and 354,323 is: 762,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,678 : 354,323 = 354,323 : x
  2. Step 2: Convert to fraction form
    164,678/354,323 = 354,323/x
  3. Step 3: Cross multiply
    164,678x = 354,323 × 354,323
  4. Step 4: Simplify right side
    164,678x = 125,544,788,329
  5. Step 5: Solve for x
    x = 125,544,788,329/164,678
  6. Step 6: Final answer
    x = 762,365.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.