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Finding the Third Proportional to 144,762 and 322,734

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Solution

The third proportional to 144,762 and 322,734 is: 719,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,762 : 322,734 = 322,734 : x
  2. Step 2: Convert to fraction form
    144,762/322,734 = 322,734/x
  3. Step 3: Cross multiply
    144,762x = 322,734 × 322,734
  4. Step 4: Simplify right side
    144,762x = 104,157,234,756
  5. Step 5: Solve for x
    x = 104,157,234,756/144,762
  6. Step 6: Final answer
    x = 719,506.74

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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.