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Finding the Third Proportional to 155,366 and 336,652

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Solution

The third proportional to 155,366 and 336,652 is: 729,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,366 : 336,652 = 336,652 : x
  2. Step 2: Convert to fraction form
    155,366/336,652 = 336,652/x
  3. Step 3: Cross multiply
    155,366x = 336,652 × 336,652
  4. Step 4: Simplify right side
    155,366x = 113,334,569,104
  5. Step 5: Solve for x
    x = 113,334,569,104/155,366
  6. Step 6: Final answer
    x = 729,468.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.