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Finding the Third Proportional to 160,968.75 and 256,229.25

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Solution

The third proportional to 160,968.75 and 256,229.25 is: 407,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,968.75 : 256,229.25 = 256,229.25 : x
  2. Step 2: Convert to fraction form
    160,968.75/256,229.25 = 256,229.25/x
  3. Step 3: Cross multiply
    160,968.75x = 256,229.25 × 256,229.25
  4. Step 4: Simplify right side
    160,968.75x = 65,653,428,555.56
  5. Step 5: Solve for x
    x = 65,653,428,555.56/160,968.75
  6. Step 6: Final answer
    x = 407,864.44

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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.