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Finding the Third Proportional to 173,844 and 373,684.50

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Solution

The third proportional to 173,844 and 373,684.50 is: 803,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,844 : 373,684.50 = 373,684.50 : x
  2. Step 2: Convert to fraction form
    173,844/373,684.50 = 373,684.50/x
  3. Step 3: Cross multiply
    173,844x = 373,684.50 × 373,684.50
  4. Step 4: Simplify right side
    173,844x = 139,640,105,540.25
  5. Step 5: Solve for x
    x = 139,640,105,540.25/173,844
  6. Step 6: Final answer
    x = 803,249.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.