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Finding the Third Proportional to 144,763 and 322,736

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Solution

The third proportional to 144,763 and 322,736 is: 719,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763 : 322,736 = 322,736 : x
  2. Step 2: Convert to fraction form
    144,763/322,736 = 322,736/x
  3. Step 3: Cross multiply
    144,763x = 322,736 × 322,736
  4. Step 4: Simplify right side
    144,763x = 104,158,525,696
  5. Step 5: Solve for x
    x = 104,158,525,696/144,763
  6. Step 6: Final answer
    x = 719,510.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.