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Finding the Third Proportional to 160,711.13 and 345,608.25

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Solution

The third proportional to 160,711.13 and 345,608.25 is: 743,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,711.13 : 345,608.25 = 345,608.25 : x
  2. Step 2: Convert to fraction form
    160,711.13/345,608.25 = 345,608.25/x
  3. Step 3: Cross multiply
    160,711.13x = 345,608.25 × 345,608.25
  4. Step 4: Simplify right side
    160,711.13x = 119,445,062,468.06
  5. Step 5: Solve for x
    x = 119,445,062,468.06/160,711.13
  6. Step 6: Final answer
    x = 743,228.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.