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Finding the Third Proportional to 115,641 and 252,450

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Solution

The third proportional to 115,641 and 252,450 is: 551,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,641 : 252,450 = 252,450 : x
  2. Step 2: Convert to fraction form
    115,641/252,450 = 252,450/x
  3. Step 3: Cross multiply
    115,641x = 252,450 × 252,450
  4. Step 4: Simplify right side
    115,641x = 63,731,002,500
  5. Step 5: Solve for x
    x = 63,731,002,500/115,641
  6. Step 6: Final answer
    x = 551,110.79

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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.