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Finding the Third Proportional to 117,558 and 252,790

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Solution

The third proportional to 117,558 and 252,790 is: 543,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,558 : 252,790 = 252,790 : x
  2. Step 2: Convert to fraction form
    117,558/252,790 = 252,790/x
  3. Step 3: Cross multiply
    117,558x = 252,790 × 252,790
  4. Step 4: Simplify right side
    117,558x = 63,902,784,100
  5. Step 5: Solve for x
    x = 63,902,784,100/117,558
  6. Step 6: Final answer
    x = 543,585.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.