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Finding the Third Proportional to 160,519 and 238,467

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Solution

The third proportional to 160,519 and 238,467 is: 354,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,519 : 238,467 = 238,467 : x
  2. Step 2: Convert to fraction form
    160,519/238,467 = 238,467/x
  3. Step 3: Cross multiply
    160,519x = 238,467 × 238,467
  4. Step 4: Simplify right side
    160,519x = 56,866,510,089
  5. Step 5: Solve for x
    x = 56,866,510,089/160,519
  6. Step 6: Final answer
    x = 354,266.54

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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.