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Finding the Third Proportional to 114,546 and 251,509

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Solution

The third proportional to 114,546 and 251,509 is: 552,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,546 : 251,509 = 251,509 : x
  2. Step 2: Convert to fraction form
    114,546/251,509 = 251,509/x
  3. Step 3: Cross multiply
    114,546x = 251,509 × 251,509
  4. Step 4: Simplify right side
    114,546x = 63,256,777,081
  5. Step 5: Solve for x
    x = 63,256,777,081/114,546
  6. Step 6: Final answer
    x = 552,239.07

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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.