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Finding the Third Proportional to 161,190 and 346,170

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Solution

The third proportional to 161,190 and 346,170 is: 743,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,190 : 346,170 = 346,170 : x
  2. Step 2: Convert to fraction form
    161,190/346,170 = 346,170/x
  3. Step 3: Cross multiply
    161,190x = 346,170 × 346,170
  4. Step 4: Simplify right side
    161,190x = 119,833,668,900
  5. Step 5: Solve for x
    x = 119,833,668,900/161,190
  6. Step 6: Final answer
    x = 743,431.16

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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.