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Finding the Third Proportional to 155,884 and 336,680

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Solution

The third proportional to 155,884 and 336,680 is: 727,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,884 : 336,680 = 336,680 : x
  2. Step 2: Convert to fraction form
    155,884/336,680 = 336,680/x
  3. Step 3: Cross multiply
    155,884x = 336,680 × 336,680
  4. Step 4: Simplify right side
    155,884x = 113,353,422,400
  5. Step 5: Solve for x
    x = 113,353,422,400/155,884
  6. Step 6: Final answer
    x = 727,165.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.