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Finding the Third Proportional to 159,791.50 and 346,745

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Solution

The third proportional to 159,791.50 and 346,745 is: 752,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,791.50 : 346,745 = 346,745 : x
  2. Step 2: Convert to fraction form
    159,791.50/346,745 = 346,745/x
  3. Step 3: Cross multiply
    159,791.50x = 346,745 × 346,745
  4. Step 4: Simplify right side
    159,791.50x = 120,232,095,025
  5. Step 5: Solve for x
    x = 120,232,095,025/159,791.50
  6. Step 6: Final answer
    x = 752,431.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.