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Finding the Third Proportional to 113,753 and 244,678

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Solution

The third proportional to 113,753 and 244,678 is: 526,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,753 : 244,678 = 244,678 : x
  2. Step 2: Convert to fraction form
    113,753/244,678 = 244,678/x
  3. Step 3: Cross multiply
    113,753x = 244,678 × 244,678
  4. Step 4: Simplify right side
    113,753x = 59,867,323,684
  5. Step 5: Solve for x
    x = 59,867,323,684/113,753
  6. Step 6: Final answer
    x = 526,292.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.