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Finding the Third Proportional to 173,077 and 373,833.50

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Solution

The third proportional to 173,077 and 373,833.50 is: 807,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,077 : 373,833.50 = 373,833.50 : x
  2. Step 2: Convert to fraction form
    173,077/373,833.50 = 373,833.50/x
  3. Step 3: Cross multiply
    173,077x = 373,833.50 × 373,833.50
  4. Step 4: Simplify right side
    173,077x = 139,751,485,722.25
  5. Step 5: Solve for x
    x = 139,751,485,722.25/173,077
  6. Step 6: Final answer
    x = 807,452.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.