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Finding the Third Proportional to 160,596 and 352,968.75

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Solution

The third proportional to 160,596 and 352,968.75 is: 775,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,596 : 352,968.75 = 352,968.75 : x
  2. Step 2: Convert to fraction form
    160,596/352,968.75 = 352,968.75/x
  3. Step 3: Cross multiply
    160,596x = 352,968.75 × 352,968.75
  4. Step 4: Simplify right side
    160,596x = 124,586,938,476.56
  5. Step 5: Solve for x
    x = 124,586,938,476.56/160,596
  6. Step 6: Final answer
    x = 775,778.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.