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Finding the Third Proportional to 164,391.75 and 359,219.25

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Solution

The third proportional to 164,391.75 and 359,219.25 is: 784,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,391.75 : 359,219.25 = 359,219.25 : x
  2. Step 2: Convert to fraction form
    164,391.75/359,219.25 = 359,219.25/x
  3. Step 3: Cross multiply
    164,391.75x = 359,219.25 × 359,219.25
  4. Step 4: Simplify right side
    164,391.75x = 129,038,469,570.56
  5. Step 5: Solve for x
    x = 129,038,469,570.56/164,391.75
  6. Step 6: Final answer
    x = 784,944.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.