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Finding the Third Proportional to 161,013 and 353,898

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Solution

The third proportional to 161,013 and 353,898 is: 777,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,013 : 353,898 = 353,898 : x
  2. Step 2: Convert to fraction form
    161,013/353,898 = 353,898/x
  3. Step 3: Cross multiply
    161,013x = 353,898 × 353,898
  4. Step 4: Simplify right side
    161,013x = 125,243,794,404
  5. Step 5: Solve for x
    x = 125,243,794,404/161,013
  6. Step 6: Final answer
    x = 777,848.96

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