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Finding the Third Proportional to 137,082 and 300,645.75

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Solution

The third proportional to 137,082 and 300,645.75 is: 659,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,082 : 300,645.75 = 300,645.75 : x
  2. Step 2: Convert to fraction form
    137,082/300,645.75 = 300,645.75/x
  3. Step 3: Cross multiply
    137,082x = 300,645.75 × 300,645.75
  4. Step 4: Simplify right side
    137,082x = 90,387,866,993.06
  5. Step 5: Solve for x
    x = 90,387,866,993.06/137,082
  6. Step 6: Final answer
    x = 659,370.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.