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Finding the Third Proportional to 174,922.50 and 276,546

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Solution

The third proportional to 174,922.50 and 276,546 is: 437,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,922.50 : 276,546 = 276,546 : x
  2. Step 2: Convert to fraction form
    174,922.50/276,546 = 276,546/x
  3. Step 3: Cross multiply
    174,922.50x = 276,546 × 276,546
  4. Step 4: Simplify right side
    174,922.50x = 76,477,690,116
  5. Step 5: Solve for x
    x = 76,477,690,116/174,922.50
  6. Step 6: Final answer
    x = 437,208.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.