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Finding the Third Proportional to 161,197 and 346,182

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Solution

The third proportional to 161,197 and 346,182 is: 743,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,197 : 346,182 = 346,182 : x
  2. Step 2: Convert to fraction form
    161,197/346,182 = 346,182/x
  3. Step 3: Cross multiply
    161,197x = 346,182 × 346,182
  4. Step 4: Simplify right side
    161,197x = 119,841,977,124
  5. Step 5: Solve for x
    x = 119,841,977,124/161,197
  6. Step 6: Final answer
    x = 743,450.42

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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.