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Finding the Third Proportional to 120,896 and 261,256

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Solution

The third proportional to 120,896 and 261,256 is: 564,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,896 : 261,256 = 261,256 : x
  2. Step 2: Convert to fraction form
    120,896/261,256 = 261,256/x
  3. Step 3: Cross multiply
    120,896x = 261,256 × 261,256
  4. Step 4: Simplify right side
    120,896x = 68,254,697,536
  5. Step 5: Solve for x
    x = 68,254,697,536/120,896
  6. Step 6: Final answer
    x = 564,573.66

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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.