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Finding the Third Proportional to 164,946 and 367,668

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Solution

The third proportional to 164,946 and 367,668 is: 819,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,946 : 367,668 = 367,668 : x
  2. Step 2: Convert to fraction form
    164,946/367,668 = 367,668/x
  3. Step 3: Cross multiply
    164,946x = 367,668 × 367,668
  4. Step 4: Simplify right side
    164,946x = 135,179,758,224
  5. Step 5: Solve for x
    x = 135,179,758,224/164,946
  6. Step 6: Final answer
    x = 819,539.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.