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Finding the Third Proportional to 104,969 and 227,434

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Solution

The third proportional to 104,969 and 227,434 is: 492,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,969 : 227,434 = 227,434 : x
  2. Step 2: Convert to fraction form
    104,969/227,434 = 227,434/x
  3. Step 3: Cross multiply
    104,969x = 227,434 × 227,434
  4. Step 4: Simplify right side
    104,969x = 51,726,224,356
  5. Step 5: Solve for x
    x = 51,726,224,356/104,969
  6. Step 6: Final answer
    x = 492,776.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.