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Finding the Third Proportional to 173,745.84 and 380,706.75

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Solution

The third proportional to 173,745.84 and 380,706.75 is: 834,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,745.84 : 380,706.75 = 380,706.75 : x
  2. Step 2: Convert to fraction form
    173,745.84/380,706.75 = 380,706.75/x
  3. Step 3: Cross multiply
    173,745.84x = 380,706.75 × 380,706.75
  4. Step 4: Simplify right side
    173,745.84x = 144,937,629,495.56
  5. Step 5: Solve for x
    x = 144,937,629,495.56/173,745.84
  6. Step 6: Final answer
    x = 834,193.36

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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.