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Finding the Third Proportional to 161,192 and 346,172

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Solution

The third proportional to 161,192 and 346,172 is: 743,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,192 : 346,172 = 346,172 : x
  2. Step 2: Convert to fraction form
    161,192/346,172 = 346,172/x
  3. Step 3: Cross multiply
    161,192x = 346,172 × 346,172
  4. Step 4: Simplify right side
    161,192x = 119,835,053,584
  5. Step 5: Solve for x
    x = 119,835,053,584/161,192
  6. Step 6: Final answer
    x = 743,430.53

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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.