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Finding the Third Proportional to 154,667 and 235,241

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Solution

The third proportional to 154,667 and 235,241 is: 357,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,667 : 235,241 = 235,241 : x
  2. Step 2: Convert to fraction form
    154,667/235,241 = 235,241/x
  3. Step 3: Cross multiply
    154,667x = 235,241 × 235,241
  4. Step 4: Simplify right side
    154,667x = 55,338,328,081
  5. Step 5: Solve for x
    x = 55,338,328,081/154,667
  6. Step 6: Final answer
    x = 357,790.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.