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Finding the Third Proportional to 161,045 and 353,954

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Solution

The third proportional to 161,045 and 353,954 is: 777,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,045 : 353,954 = 353,954 : x
  2. Step 2: Convert to fraction form
    161,045/353,954 = 353,954/x
  3. Step 3: Cross multiply
    161,045x = 353,954 × 353,954
  4. Step 4: Simplify right side
    161,045x = 125,283,434,116
  5. Step 5: Solve for x
    x = 125,283,434,116/161,045
  6. Step 6: Final answer
    x = 777,940.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.