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Finding the Third Proportional to 120,898 and 263,304

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Solution

The third proportional to 120,898 and 263,304 is: 573,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,898 : 263,304 = 263,304 : x
  2. Step 2: Convert to fraction form
    120,898/263,304 = 263,304/x
  3. Step 3: Cross multiply
    120,898x = 263,304 × 263,304
  4. Step 4: Simplify right side
    120,898x = 69,328,996,416
  5. Step 5: Solve for x
    x = 69,328,996,416/120,898
  6. Step 6: Final answer
    x = 573,450.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.