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Finding the Third Proportional to 154,065 and 232,191

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Solution

The third proportional to 154,065 and 232,191 is: 349,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,065 : 232,191 = 232,191 : x
  2. Step 2: Convert to fraction form
    154,065/232,191 = 232,191/x
  3. Step 3: Cross multiply
    154,065x = 232,191 × 232,191
  4. Step 4: Simplify right side
    154,065x = 53,912,660,481
  5. Step 5: Solve for x
    x = 53,912,660,481/154,065
  6. Step 6: Final answer
    x = 349,934.51

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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.