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Finding the Third Proportional to 144,444 and 322,081

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Solution

The third proportional to 144,444 and 322,081 is: 718,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,444 : 322,081 = 322,081 : x
  2. Step 2: Convert to fraction form
    144,444/322,081 = 322,081/x
  3. Step 3: Cross multiply
    144,444x = 322,081 × 322,081
  4. Step 4: Simplify right side
    144,444x = 103,736,170,561
  5. Step 5: Solve for x
    x = 103,736,170,561/144,444
  6. Step 6: Final answer
    x = 718,175.70

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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.