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Finding the Third Proportional to 160,797.50 and 339,433.50

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Solution

The third proportional to 160,797.50 and 339,433.50 is: 716,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,797.50 : 339,433.50 = 339,433.50 : x
  2. Step 2: Convert to fraction form
    160,797.50/339,433.50 = 339,433.50/x
  3. Step 3: Cross multiply
    160,797.50x = 339,433.50 × 339,433.50
  4. Step 4: Simplify right side
    160,797.50x = 115,215,100,922.25
  5. Step 5: Solve for x
    x = 115,215,100,922.25/160,797.50
  6. Step 6: Final answer
    x = 716,522.96

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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.