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Finding the Third Proportional to 174,424 and 236,718.75

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Solution

The third proportional to 174,424 and 236,718.75 is: 321,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,424 : 236,718.75 = 236,718.75 : x
  2. Step 2: Convert to fraction form
    174,424/236,718.75 = 236,718.75/x
  3. Step 3: Cross multiply
    174,424x = 236,718.75 × 236,718.75
  4. Step 4: Simplify right side
    174,424x = 56,035,766,601.56
  5. Step 5: Solve for x
    x = 56,035,766,601.56/174,424
  6. Step 6: Final answer
    x = 321,261.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.