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Finding the Third Proportional to 164,168 and 353,666

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Solution

The third proportional to 164,168 and 353,666 is: 761,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,168 : 353,666 = 353,666 : x
  2. Step 2: Convert to fraction form
    164,168/353,666 = 353,666/x
  3. Step 3: Cross multiply
    164,168x = 353,666 × 353,666
  4. Step 4: Simplify right side
    164,168x = 125,079,639,556
  5. Step 5: Solve for x
    x = 125,079,639,556/164,168
  6. Step 6: Final answer
    x = 761,900.25

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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.