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Finding the Third Proportional to 116,010 and 244,458

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Solution

The third proportional to 116,010 and 244,458 is: 515,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,010 : 244,458 = 244,458 : x
  2. Step 2: Convert to fraction form
    116,010/244,458 = 244,458/x
  3. Step 3: Cross multiply
    116,010x = 244,458 × 244,458
  4. Step 4: Simplify right side
    116,010x = 59,759,713,764
  5. Step 5: Solve for x
    x = 59,759,713,764/116,010
  6. Step 6: Final answer
    x = 515,125.54

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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.