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Finding the Third Proportional to 155,265 and 334,314

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Solution

The third proportional to 155,265 and 334,314 is: 719,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,265 : 334,314 = 334,314 : x
  2. Step 2: Convert to fraction form
    155,265/334,314 = 334,314/x
  3. Step 3: Cross multiply
    155,265x = 334,314 × 334,314
  4. Step 4: Simplify right side
    155,265x = 111,765,850,596
  5. Step 5: Solve for x
    x = 111,765,850,596/155,265
  6. Step 6: Final answer
    x = 719,839.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.