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Finding the Third Proportional to 115,211 and 238,627

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Solution

The third proportional to 115,211 and 238,627 is: 494,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,211 : 238,627 = 238,627 : x
  2. Step 2: Convert to fraction form
    115,211/238,627 = 238,627/x
  3. Step 3: Cross multiply
    115,211x = 238,627 × 238,627
  4. Step 4: Simplify right side
    115,211x = 56,942,845,129
  5. Step 5: Solve for x
    x = 56,942,845,129/115,211
  6. Step 6: Final answer
    x = 494,248.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.