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Finding the Third Proportional to 149,694.75 and 226,095.75

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Solution

The third proportional to 149,694.75 and 226,095.75 is: 341,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,694.75 : 226,095.75 = 226,095.75 : x
  2. Step 2: Convert to fraction form
    149,694.75/226,095.75 = 226,095.75/x
  3. Step 3: Cross multiply
    149,694.75x = 226,095.75 × 226,095.75
  4. Step 4: Simplify right side
    149,694.75x = 51,119,288,168.06
  5. Step 5: Solve for x
    x = 51,119,288,168.06/149,694.75
  6. Step 6: Final answer
    x = 341,490.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.