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Finding the Third Proportional to 155,286 and 330,255

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Solution

The third proportional to 155,286 and 330,255 is: 702,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,286 : 330,255 = 330,255 : x
  2. Step 2: Convert to fraction form
    155,286/330,255 = 330,255/x
  3. Step 3: Cross multiply
    155,286x = 330,255 × 330,255
  4. Step 4: Simplify right side
    155,286x = 109,068,365,025
  5. Step 5: Solve for x
    x = 109,068,365,025/155,286
  6. Step 6: Final answer
    x = 702,370.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.