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Finding the Third Proportional to 173,781 and 380,775

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Solution

The third proportional to 173,781 and 380,775 is: 834,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,781 : 380,775 = 380,775 : x
  2. Step 2: Convert to fraction form
    173,781/380,775 = 380,775/x
  3. Step 3: Cross multiply
    173,781x = 380,775 × 380,775
  4. Step 4: Simplify right side
    173,781x = 144,989,600,625
  5. Step 5: Solve for x
    x = 144,989,600,625/173,781
  6. Step 6: Final answer
    x = 834,323.66

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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.