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Finding the Third Proportional to 138,084.75 and 294,698.25

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Solution

The third proportional to 138,084.75 and 294,698.25 is: 628,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,084.75 : 294,698.25 = 294,698.25 : x
  2. Step 2: Convert to fraction form
    138,084.75/294,698.25 = 294,698.25/x
  3. Step 3: Cross multiply
    138,084.75x = 294,698.25 × 294,698.25
  4. Step 4: Simplify right side
    138,084.75x = 86,847,058,553.06
  5. Step 5: Solve for x
    x = 86,847,058,553.06/138,084.75
  6. Step 6: Final answer
    x = 628,940.26

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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.