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Finding the Third Proportional to 161,696 and 329,968

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Solution

The third proportional to 161,696 and 329,968 is: 673,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,696 : 329,968 = 329,968 : x
  2. Step 2: Convert to fraction form
    161,696/329,968 = 329,968/x
  3. Step 3: Cross multiply
    161,696x = 329,968 × 329,968
  4. Step 4: Simplify right side
    161,696x = 108,878,881,024
  5. Step 5: Solve for x
    x = 108,878,881,024/161,696
  6. Step 6: Final answer
    x = 673,355.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.