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Finding the Third Proportional to 163,086.75 and 337,361.25

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Solution

The third proportional to 163,086.75 and 337,361.25 is: 697,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,086.75 : 337,361.25 = 337,361.25 : x
  2. Step 2: Convert to fraction form
    163,086.75/337,361.25 = 337,361.25/x
  3. Step 3: Cross multiply
    163,086.75x = 337,361.25 × 337,361.25
  4. Step 4: Simplify right side
    163,086.75x = 113,812,613,001.56
  5. Step 5: Solve for x
    x = 113,812,613,001.56/163,086.75
  6. Step 6: Final answer
    x = 697,865.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.