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Finding the Third Proportional to 173,803 and 380,824

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Solution

The third proportional to 173,803 and 380,824 is: 834,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,803 : 380,824 = 380,824 : x
  2. Step 2: Convert to fraction form
    173,803/380,824 = 380,824/x
  3. Step 3: Cross multiply
    173,803x = 380,824 × 380,824
  4. Step 4: Simplify right side
    173,803x = 145,026,918,976
  5. Step 5: Solve for x
    x = 145,026,918,976/173,803
  6. Step 6: Final answer
    x = 834,432.77

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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.