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Finding the Third Proportional to 164,333 and 345,267

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Solution

The third proportional to 164,333 and 345,267 is: 725,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,333 : 345,267 = 345,267 : x
  2. Step 2: Convert to fraction form
    164,333/345,267 = 345,267/x
  3. Step 3: Cross multiply
    164,333x = 345,267 × 345,267
  4. Step 4: Simplify right side
    164,333x = 119,209,301,289
  5. Step 5: Solve for x
    x = 119,209,301,289/164,333
  6. Step 6: Final answer
    x = 725,413.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.