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Finding the Third Proportional to 160,467.75 and 241,341.75

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Solution

The third proportional to 160,467.75 and 241,341.75 is: 362,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,467.75 : 241,341.75 = 241,341.75 : x
  2. Step 2: Convert to fraction form
    160,467.75/241,341.75 = 241,341.75/x
  3. Step 3: Cross multiply
    160,467.75x = 241,341.75 × 241,341.75
  4. Step 4: Simplify right side
    160,467.75x = 58,245,840,293.06
  5. Step 5: Solve for x
    x = 58,245,840,293.06/160,467.75
  6. Step 6: Final answer
    x = 362,975.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.