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Finding the Third Proportional to 154,068 and 232,197

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Solution

The third proportional to 154,068 and 232,197 is: 349,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,068 : 232,197 = 232,197 : x
  2. Step 2: Convert to fraction form
    154,068/232,197 = 232,197/x
  3. Step 3: Cross multiply
    154,068x = 232,197 × 232,197
  4. Step 4: Simplify right side
    154,068x = 53,915,446,809
  5. Step 5: Solve for x
    x = 53,915,446,809/154,068
  6. Step 6: Final answer
    x = 349,945.78

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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.