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Finding the Third Proportional to 160,966.97 and 256,226.06

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Solution

The third proportional to 160,966.97 and 256,226.06 is: 407,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,966.97 : 256,226.06 = 256,226.06 : x
  2. Step 2: Convert to fraction form
    160,966.97/256,226.06 = 256,226.06/x
  3. Step 3: Cross multiply
    160,966.97x = 256,226.06 × 256,226.06
  4. Step 4: Simplify right side
    160,966.97x = 65,651,795,104.25
  5. Step 5: Solve for x
    x = 65,651,795,104.25/160,966.97
  6. Step 6: Final answer
    x = 407,858.80

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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.