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Finding the Third Proportional to 161,576 and 345,616

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Solution

The third proportional to 161,576 and 345,616 is: 739,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,576 : 345,616 = 345,616 : x
  2. Step 2: Convert to fraction form
    161,576/345,616 = 345,616/x
  3. Step 3: Cross multiply
    161,576x = 345,616 × 345,616
  4. Step 4: Simplify right side
    161,576x = 119,450,419,456
  5. Step 5: Solve for x
    x = 119,450,419,456/161,576
  6. Step 6: Final answer
    x = 739,283.18

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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.