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Finding the Third Proportional to 167,199 and 361,044

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Solution

The third proportional to 167,199 and 361,044 is: 779,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,199 : 361,044 = 361,044 : x
  2. Step 2: Convert to fraction form
    167,199/361,044 = 361,044/x
  3. Step 3: Cross multiply
    167,199x = 361,044 × 361,044
  4. Step 4: Simplify right side
    167,199x = 130,352,769,936
  5. Step 5: Solve for x
    x = 130,352,769,936/167,199
  6. Step 6: Final answer
    x = 779,626.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.