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Finding the Third Proportional to 159,716.81 and 341,594.44

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Solution

The third proportional to 159,716.81 and 341,594.44 is: 730,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,716.81 : 341,594.44 = 341,594.44 : x
  2. Step 2: Convert to fraction form
    159,716.81/341,594.44 = 341,594.44/x
  3. Step 3: Cross multiply
    159,716.81x = 341,594.44 × 341,594.44
  4. Step 4: Simplify right side
    159,716.81x = 116,686,759,730.94
  5. Step 5: Solve for x
    x = 116,686,759,730.94/159,716.81
  6. Step 6: Final answer
    x = 730,585.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.