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Finding the Third Proportional to 110,814 and 244,957

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Solution

The third proportional to 110,814 and 244,957 is: 541,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,814 : 244,957 = 244,957 : x
  2. Step 2: Convert to fraction form
    110,814/244,957 = 244,957/x
  3. Step 3: Cross multiply
    110,814x = 244,957 × 244,957
  4. Step 4: Simplify right side
    110,814x = 60,003,931,849
  5. Step 5: Solve for x
    x = 60,003,931,849/110,814
  6. Step 6: Final answer
    x = 541,483.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.