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Finding the Third Proportional to 115,836 and 252,960

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Solution

The third proportional to 115,836 and 252,960 is: 552,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,836 : 252,960 = 252,960 : x
  2. Step 2: Convert to fraction form
    115,836/252,960 = 252,960/x
  3. Step 3: Cross multiply
    115,836x = 252,960 × 252,960
  4. Step 4: Simplify right side
    115,836x = 63,988,761,600
  5. Step 5: Solve for x
    x = 63,988,761,600/115,836
  6. Step 6: Final answer
    x = 552,408.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.