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Finding the Third Proportional to 167,098 and 360,044

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Solution

The third proportional to 167,098 and 360,044 is: 775,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,098 : 360,044 = 360,044 : x
  2. Step 2: Convert to fraction form
    167,098/360,044 = 360,044/x
  3. Step 3: Cross multiply
    167,098x = 360,044 × 360,044
  4. Step 4: Simplify right side
    167,098x = 129,631,681,936
  5. Step 5: Solve for x
    x = 129,631,681,936/167,098
  6. Step 6: Final answer
    x = 775,782.37

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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.