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Finding the Third Proportional to 174,483 and 276,736.50

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Solution

The third proportional to 174,483 and 276,736.50 is: 438,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,483 : 276,736.50 = 276,736.50 : x
  2. Step 2: Convert to fraction form
    174,483/276,736.50 = 276,736.50/x
  3. Step 3: Cross multiply
    174,483x = 276,736.50 × 276,736.50
  4. Step 4: Simplify right side
    174,483x = 76,583,090,432.25
  5. Step 5: Solve for x
    x = 76,583,090,432.25/174,483
  6. Step 6: Final answer
    x = 438,914.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.