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Finding the Third Proportional to 160,246.69 and 341,945.72

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Solution

The third proportional to 160,246.69 and 341,945.72 is: 729,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,246.69 : 341,945.72 = 341,945.72 : x
  2. Step 2: Convert to fraction form
    160,246.69/341,945.72 = 341,945.72/x
  3. Step 3: Cross multiply
    160,246.69x = 341,945.72 × 341,945.72
  4. Step 4: Simplify right side
    160,246.69x = 116,926,874,571.45
  5. Step 5: Solve for x
    x = 116,926,874,571.45/160,246.69
  6. Step 6: Final answer
    x = 729,667.97

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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.