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Finding the Third Proportional to 114,804 and 251,760

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Solution

The third proportional to 114,804 and 251,760 is: 552,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,804 : 251,760 = 251,760 : x
  2. Step 2: Convert to fraction form
    114,804/251,760 = 251,760/x
  3. Step 3: Cross multiply
    114,804x = 251,760 × 251,760
  4. Step 4: Simplify right side
    114,804x = 63,383,097,600
  5. Step 5: Solve for x
    x = 63,383,097,600/114,804
  6. Step 6: Final answer
    x = 552,098.34

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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.