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Finding the Third Proportional to 159,082.88 and 343,072.69

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Solution

The third proportional to 159,082.88 and 343,072.69 is: 739,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.88 : 343,072.69 = 343,072.69 : x
  2. Step 2: Convert to fraction form
    159,082.88/343,072.69 = 343,072.69/x
  3. Step 3: Cross multiply
    159,082.88x = 343,072.69 × 343,072.69
  4. Step 4: Simplify right side
    159,082.88x = 117,698,868,908.47
  5. Step 5: Solve for x
    x = 117,698,868,908.47/159,082.88
  6. Step 6: Final answer
    x = 739,858.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.