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Finding the Third Proportional to 155,516 and 326,694

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Solution

The third proportional to 155,516 and 326,694 is: 686,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,516 : 326,694 = 326,694 : x
  2. Step 2: Convert to fraction form
    155,516/326,694 = 326,694/x
  3. Step 3: Cross multiply
    155,516x = 326,694 × 326,694
  4. Step 4: Simplify right side
    155,516x = 106,728,969,636
  5. Step 5: Solve for x
    x = 106,728,969,636/155,516
  6. Step 6: Final answer
    x = 686,289.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.