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Finding the Third Proportional to 122,006 and 263,452

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Solution

The third proportional to 122,006 and 263,452 is: 568,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,006 : 263,452 = 263,452 : x
  2. Step 2: Convert to fraction form
    122,006/263,452 = 263,452/x
  3. Step 3: Cross multiply
    122,006x = 263,452 × 263,452
  4. Step 4: Simplify right side
    122,006x = 69,406,956,304
  5. Step 5: Solve for x
    x = 69,406,956,304/122,006
  6. Step 6: Final answer
    x = 568,881.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.