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Finding the Third Proportional to 116,512 and 254,832

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Solution

The third proportional to 116,512 and 254,832 is: 557,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,512 : 254,832 = 254,832 : x
  2. Step 2: Convert to fraction form
    116,512/254,832 = 254,832/x
  3. Step 3: Cross multiply
    116,512x = 254,832 × 254,832
  4. Step 4: Simplify right side
    116,512x = 64,939,348,224
  5. Step 5: Solve for x
    x = 64,939,348,224/116,512
  6. Step 6: Final answer
    x = 557,361.89

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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.