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Finding the Third Proportional to 189,681.75 and 396,898.73

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Solution

The third proportional to 189,681.75 and 396,898.73 is: 830,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,681.75 : 396,898.73 = 396,898.73 : x
  2. Step 2: Convert to fraction form
    189,681.75/396,898.73 = 396,898.73/x
  3. Step 3: Cross multiply
    189,681.75x = 396,898.73 × 396,898.73
  4. Step 4: Simplify right side
    189,681.75x = 157,528,605,348.48
  5. Step 5: Solve for x
    x = 157,528,605,348.48/189,681.75
  6. Step 6: Final answer
    x = 830,488.99

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.