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Finding the Third Proportional to 138,546 and 214,947

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Solution

The third proportional to 138,546 and 214,947 is: 333,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546 : 214,947 = 214,947 : x
  2. Step 2: Convert to fraction form
    138,546/214,947 = 214,947/x
  3. Step 3: Cross multiply
    138,546x = 214,947 × 214,947
  4. Step 4: Simplify right side
    138,546x = 46,202,212,809
  5. Step 5: Solve for x
    x = 46,202,212,809/138,546
  6. Step 6: Final answer
    x = 333,479.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.