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Finding the Third Proportional to 115,996 and 244,440

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Solution

The third proportional to 115,996 and 244,440 is: 515,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,996 : 244,440 = 244,440 : x
  2. Step 2: Convert to fraction form
    115,996/244,440 = 244,440/x
  3. Step 3: Cross multiply
    115,996x = 244,440 × 244,440
  4. Step 4: Simplify right side
    115,996x = 59,750,913,600
  5. Step 5: Solve for x
    x = 59,750,913,600/115,996
  6. Step 6: Final answer
    x = 515,111.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.