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Finding the Third Proportional to 160,256.81 and 341,965.13

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Solution

The third proportional to 160,256.81 and 341,965.13 is: 729,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,256.81 : 341,965.13 = 341,965.13 : x
  2. Step 2: Convert to fraction form
    160,256.81/341,965.13 = 341,965.13/x
  3. Step 3: Cross multiply
    160,256.81x = 341,965.13 × 341,965.13
  4. Step 4: Simplify right side
    160,256.81x = 116,940,146,716.27
  5. Step 5: Solve for x
    x = 116,940,146,716.27/160,256.81
  6. Step 6: Final answer
    x = 729,704.68

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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.