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Finding the Third Proportional to 240,765 and 322,104

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Solution

The third proportional to 240,765 and 322,104 is: 430,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,765 : 322,104 = 322,104 : x
  2. Step 2: Convert to fraction form
    240,765/322,104 = 322,104/x
  3. Step 3: Cross multiply
    240,765x = 322,104 × 322,104
  4. Step 4: Simplify right side
    240,765x = 103,750,986,816
  5. Step 5: Solve for x
    x = 103,750,986,816/240,765
  6. Step 6: Final answer
    x = 430,922.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.