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Finding the Third Proportional to 173,170.13 and 365,101.88

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Solution

The third proportional to 173,170.13 and 365,101.88 is: 769,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,170.13 : 365,101.88 = 365,101.88 : x
  2. Step 2: Convert to fraction form
    173,170.13/365,101.88 = 365,101.88/x
  3. Step 3: Cross multiply
    173,170.13x = 365,101.88 × 365,101.88
  4. Step 4: Simplify right side
    173,170.13x = 133,299,379,128.52
  5. Step 5: Solve for x
    x = 133,299,379,128.52/173,170.13
  6. Step 6: Final answer
    x = 769,759.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.