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Finding the Third Proportional to 173,738.81 and 380,692.13

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Solution

The third proportional to 173,738.81 and 380,692.13 is: 834,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,738.81 : 380,692.13 = 380,692.13 : x
  2. Step 2: Convert to fraction form
    173,738.81/380,692.13 = 380,692.13/x
  3. Step 3: Cross multiply
    173,738.81x = 380,692.13 × 380,692.13
  4. Step 4: Simplify right side
    173,738.81x = 144,926,494,037.02
  5. Step 5: Solve for x
    x = 144,926,494,037.02/173,738.81
  6. Step 6: Final answer
    x = 834,163.03

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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.