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Finding the Third Proportional to 238,055 and 322,945

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Solution

The third proportional to 238,055 and 322,945 is: 438,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,055 : 322,945 = 322,945 : x
  2. Step 2: Convert to fraction form
    238,055/322,945 = 322,945/x
  3. Step 3: Cross multiply
    238,055x = 322,945 × 322,945
  4. Step 4: Simplify right side
    238,055x = 104,293,473,025
  5. Step 5: Solve for x
    x = 104,293,473,025/238,055
  6. Step 6: Final answer
    x = 438,106.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.