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Finding the Third Proportional to 116,705 and 248,962

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Solution

The third proportional to 116,705 and 248,962 is: 531,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,705 : 248,962 = 248,962 : x
  2. Step 2: Convert to fraction form
    116,705/248,962 = 248,962/x
  3. Step 3: Cross multiply
    116,705x = 248,962 × 248,962
  4. Step 4: Simplify right side
    116,705x = 61,982,077,444
  5. Step 5: Solve for x
    x = 61,982,077,444/116,705
  6. Step 6: Final answer
    x = 531,100.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.