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Finding the Third Proportional to 164,288 and 232,736

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Solution

The third proportional to 164,288 and 232,736 is: 329,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,288 : 232,736 = 232,736 : x
  2. Step 2: Convert to fraction form
    164,288/232,736 = 232,736/x
  3. Step 3: Cross multiply
    164,288x = 232,736 × 232,736
  4. Step 4: Simplify right side
    164,288x = 54,166,045,696
  5. Step 5: Solve for x
    x = 54,166,045,696/164,288
  6. Step 6: Final answer
    x = 329,701.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.