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Finding the Third Proportional to 157,869 and 241,503

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Solution

The third proportional to 157,869 and 241,503 is: 369,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,869 : 241,503 = 241,503 : x
  2. Step 2: Convert to fraction form
    157,869/241,503 = 241,503/x
  3. Step 3: Cross multiply
    157,869x = 241,503 × 241,503
  4. Step 4: Simplify right side
    157,869x = 58,323,699,009
  5. Step 5: Solve for x
    x = 58,323,699,009/157,869
  6. Step 6: Final answer
    x = 369,443.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.