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Finding the Third Proportional to 164,832 and 232,848

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Solution

The third proportional to 164,832 and 232,848 is: 328,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,832 : 232,848 = 232,848 : x
  2. Step 2: Convert to fraction form
    164,832/232,848 = 232,848/x
  3. Step 3: Cross multiply
    164,832x = 232,848 × 232,848
  4. Step 4: Simplify right side
    164,832x = 54,218,191,104
  5. Step 5: Solve for x
    x = 54,218,191,104/164,832
  6. Step 6: Final answer
    x = 328,930.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.