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Finding the Third Proportional to 173,838 and 380,887

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Solution

The third proportional to 173,838 and 380,887 is: 834,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,838 : 380,887 = 380,887 : x
  2. Step 2: Convert to fraction form
    173,838/380,887 = 380,887/x
  3. Step 3: Cross multiply
    173,838x = 380,887 × 380,887
  4. Step 4: Simplify right side
    173,838x = 145,074,906,769
  5. Step 5: Solve for x
    x = 145,074,906,769/173,838
  6. Step 6: Final answer
    x = 834,540.82

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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.