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Finding the Third Proportional to 144,406.36 and 322,016.34

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Solution

The third proportional to 144,406.36 and 322,016.34 is: 718,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,406.36 : 322,016.34 = 322,016.34 : x
  2. Step 2: Convert to fraction form
    144,406.36/322,016.34 = 322,016.34/x
  3. Step 3: Cross multiply
    144,406.36x = 322,016.34 × 322,016.34
  4. Step 4: Simplify right side
    144,406.36x = 103,694,525,642.12
  5. Step 5: Solve for x
    x = 103,694,525,642.12/144,406.36
  6. Step 6: Final answer
    x = 718,074.51

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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.