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Finding the Third Proportional to 164,166 and 350,796

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Solution

The third proportional to 164,166 and 350,796 is: 749,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,166 : 350,796 = 350,796 : x
  2. Step 2: Convert to fraction form
    164,166/350,796 = 350,796/x
  3. Step 3: Cross multiply
    164,166x = 350,796 × 350,796
  4. Step 4: Simplify right side
    164,166x = 123,057,833,616
  5. Step 5: Solve for x
    x = 123,057,833,616/164,166
  6. Step 6: Final answer
    x = 749,593.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.