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Finding the Third Proportional to 104,927 and 224,813

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Solution

The third proportional to 104,927 and 224,813 is: 481,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,927 : 224,813 = 224,813 : x
  2. Step 2: Convert to fraction form
    104,927/224,813 = 224,813/x
  3. Step 3: Cross multiply
    104,927x = 224,813 × 224,813
  4. Step 4: Simplify right side
    104,927x = 50,540,884,969
  5. Step 5: Solve for x
    x = 50,540,884,969/104,927
  6. Step 6: Final answer
    x = 481,676.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.