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Finding the Third Proportional to 121,728 and 262,896

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Solution

The third proportional to 121,728 and 262,896 is: 567,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,728 : 262,896 = 262,896 : x
  2. Step 2: Convert to fraction form
    121,728/262,896 = 262,896/x
  3. Step 3: Cross multiply
    121,728x = 262,896 × 262,896
  4. Step 4: Simplify right side
    121,728x = 69,114,306,816
  5. Step 5: Solve for x
    x = 69,114,306,816/121,728
  6. Step 6: Final answer
    x = 567,776.57

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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.