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Finding the Third Proportional to 114,656 and 251,728

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Solution

The third proportional to 114,656 and 251,728 is: 552,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,656 : 251,728 = 251,728 : x
  2. Step 2: Convert to fraction form
    114,656/251,728 = 251,728/x
  3. Step 3: Cross multiply
    114,656x = 251,728 × 251,728
  4. Step 4: Simplify right side
    114,656x = 63,366,985,984
  5. Step 5: Solve for x
    x = 63,366,985,984/114,656
  6. Step 6: Final answer
    x = 552,670.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.