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Finding the Third Proportional to 115,112 and 271,352

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Solution

The third proportional to 115,112 and 271,352 is: 639,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,112 : 271,352 = 271,352 : x
  2. Step 2: Convert to fraction form
    115,112/271,352 = 271,352/x
  3. Step 3: Cross multiply
    115,112x = 271,352 × 271,352
  4. Step 4: Simplify right side
    115,112x = 73,631,907,904
  5. Step 5: Solve for x
    x = 73,631,907,904/115,112
  6. Step 6: Final answer
    x = 639,654.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.