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Finding the Third Proportional to 160,524 and 238,474

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Solution

The third proportional to 160,524 and 238,474 is: 354,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,524 : 238,474 = 238,474 : x
  2. Step 2: Convert to fraction form
    160,524/238,474 = 238,474/x
  3. Step 3: Cross multiply
    160,524x = 238,474 × 238,474
  4. Step 4: Simplify right side
    160,524x = 56,869,848,676
  5. Step 5: Solve for x
    x = 56,869,848,676/160,524
  6. Step 6: Final answer
    x = 354,276.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.