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Finding the Third Proportional to 120,829 and 264,898

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Solution

The third proportional to 120,829 and 264,898 is: 580,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,829 : 264,898 = 264,898 : x
  2. Step 2: Convert to fraction form
    120,829/264,898 = 264,898/x
  3. Step 3: Cross multiply
    120,829x = 264,898 × 264,898
  4. Step 4: Simplify right side
    120,829x = 70,170,950,404
  5. Step 5: Solve for x
    x = 70,170,950,404/120,829
  6. Step 6: Final answer
    x = 580,745.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.