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Finding the Third Proportional to 161,616 and 345,696

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Solution

The third proportional to 161,616 and 345,696 is: 739,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,616 : 345,696 = 345,696 : x
  2. Step 2: Convert to fraction form
    161,616/345,696 = 345,696/x
  3. Step 3: Cross multiply
    161,616x = 345,696 × 345,696
  4. Step 4: Simplify right side
    161,616x = 119,505,724,416
  5. Step 5: Solve for x
    x = 119,505,724,416/161,616
  6. Step 6: Final answer
    x = 739,442.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.