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Finding the Third Proportional to 144,767 and 322,744

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Solution

The third proportional to 144,767 and 322,744 is: 719,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,767 : 322,744 = 322,744 : x
  2. Step 2: Convert to fraction form
    144,767/322,744 = 322,744/x
  3. Step 3: Cross multiply
    144,767x = 322,744 × 322,744
  4. Step 4: Simplify right side
    144,767x = 104,163,689,536
  5. Step 5: Solve for x
    x = 104,163,689,536/144,767
  6. Step 6: Final answer
    x = 719,526.48

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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.