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Finding the Third Proportional to 173,632 and 352,094

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Solution

The third proportional to 173,632 and 352,094 is: 713,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,632 : 352,094 = 352,094 : x
  2. Step 2: Convert to fraction form
    173,632/352,094 = 352,094/x
  3. Step 3: Cross multiply
    173,632x = 352,094 × 352,094
  4. Step 4: Simplify right side
    173,632x = 123,970,184,836
  5. Step 5: Solve for x
    x = 123,970,184,836/173,632
  6. Step 6: Final answer
    x = 713,982.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.