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Finding the Third Proportional to 173,256 and 379,608

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Solution

The third proportional to 173,256 and 379,608 is: 831,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,256 : 379,608 = 379,608 : x
  2. Step 2: Convert to fraction form
    173,256/379,608 = 379,608/x
  3. Step 3: Cross multiply
    173,256x = 379,608 × 379,608
  4. Step 4: Simplify right side
    173,256x = 144,102,233,664
  5. Step 5: Solve for x
    x = 144,102,233,664/173,256
  6. Step 6: Final answer
    x = 831,730.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.