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Finding the Third Proportional to 160,768.88 and 342,891.38

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Solution

The third proportional to 160,768.88 and 342,891.38 is: 731,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,768.88 : 342,891.38 = 342,891.38 : x
  2. Step 2: Convert to fraction form
    160,768.88/342,891.38 = 342,891.38/x
  3. Step 3: Cross multiply
    160,768.88x = 342,891.38 × 342,891.38
  4. Step 4: Simplify right side
    160,768.88x = 117,574,495,049.39
  5. Step 5: Solve for x
    x = 117,574,495,049.39/160,768.88
  6. Step 6: Final answer
    x = 731,326.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.