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Finding the Third Proportional to 238,704 and 334,620

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Solution

The third proportional to 238,704 and 334,620 is: 469,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,704 : 334,620 = 334,620 : x
  2. Step 2: Convert to fraction form
    238,704/334,620 = 334,620/x
  3. Step 3: Cross multiply
    238,704x = 334,620 × 334,620
  4. Step 4: Simplify right side
    238,704x = 111,970,544,400
  5. Step 5: Solve for x
    x = 111,970,544,400/238,704
  6. Step 6: Final answer
    x = 469,076.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.