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Finding the Third Proportional to 173,859 and 380,901

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Solution

The third proportional to 173,859 and 380,901 is: 834,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,859 : 380,901 = 380,901 : x
  2. Step 2: Convert to fraction form
    173,859/380,901 = 380,901/x
  3. Step 3: Cross multiply
    173,859x = 380,901 × 380,901
  4. Step 4: Simplify right side
    173,859x = 145,085,571,801
  5. Step 5: Solve for x
    x = 145,085,571,801/173,859
  6. Step 6: Final answer
    x = 834,501.36

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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.