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Finding the Third Proportional to 159,869 and 349,827

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Solution

The third proportional to 159,869 and 349,827 is: 765,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,869 : 349,827 = 349,827 : x
  2. Step 2: Convert to fraction form
    159,869/349,827 = 349,827/x
  3. Step 3: Cross multiply
    159,869x = 349,827 × 349,827
  4. Step 4: Simplify right side
    159,869x = 122,378,929,929
  5. Step 5: Solve for x
    x = 122,378,929,929/159,869
  6. Step 6: Final answer
    x = 765,495.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.