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Finding the Third Proportional to 173,777 and 380,770

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Solution

The third proportional to 173,777 and 380,770 is: 834,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,777 : 380,770 = 380,770 : x
  2. Step 2: Convert to fraction form
    173,777/380,770 = 380,770/x
  3. Step 3: Cross multiply
    173,777x = 380,770 × 380,770
  4. Step 4: Simplify right side
    173,777x = 144,985,792,900
  5. Step 5: Solve for x
    x = 144,985,792,900/173,777
  6. Step 6: Final answer
    x = 834,320.96

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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.