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Finding the Third Proportional to 118,852 and 263,948

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Solution

The third proportional to 118,852 and 263,948 is: 586,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,852 : 263,948 = 263,948 : x
  2. Step 2: Convert to fraction form
    118,852/263,948 = 263,948/x
  3. Step 3: Cross multiply
    118,852x = 263,948 × 263,948
  4. Step 4: Simplify right side
    118,852x = 69,668,546,704
  5. Step 5: Solve for x
    x = 69,668,546,704/118,852
  6. Step 6: Final answer
    x = 586,179.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.