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Finding the Third Proportional to 174,439 and 276,670.50

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Solution

The third proportional to 174,439 and 276,670.50 is: 438,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,439 : 276,670.50 = 276,670.50 : x
  2. Step 2: Convert to fraction form
    174,439/276,670.50 = 276,670.50/x
  3. Step 3: Cross multiply
    174,439x = 276,670.50 × 276,670.50
  4. Step 4: Simplify right side
    174,439x = 76,546,565,570.25
  5. Step 5: Solve for x
    x = 76,546,565,570.25/174,439
  6. Step 6: Final answer
    x = 438,815.66

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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.