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Finding the Third Proportional to 163,086.75 and 330,759

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Solution

The third proportional to 163,086.75 and 330,759 is: 670,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,086.75 : 330,759 = 330,759 : x
  2. Step 2: Convert to fraction form
    163,086.75/330,759 = 330,759/x
  3. Step 3: Cross multiply
    163,086.75x = 330,759 × 330,759
  4. Step 4: Simplify right side
    163,086.75x = 109,401,516,081
  5. Step 5: Solve for x
    x = 109,401,516,081/163,086.75
  6. Step 6: Final answer
    x = 670,817.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.