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Finding the Third Proportional to 172.31 and 344.06

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Solution

The third proportional to 172.31 and 344.06 is: 687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.31 : 344.06 = 344.06 : x
  2. Step 2: Convert to fraction form
    172.31/344.06 = 344.06/x
  3. Step 3: Cross multiply
    172.31x = 344.06 × 344.06
  4. Step 4: Simplify right side
    172.31x = 118,379.00
  5. Step 5: Solve for x
    x = 118,379.00/172.31
  6. Step 6: Final answer
    x = 687.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.