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Finding the Third Proportional to 118,422 and 263,088

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Solution

The third proportional to 118,422 and 263,088 is: 584,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,422 : 263,088 = 263,088 : x
  2. Step 2: Convert to fraction form
    118,422/263,088 = 263,088/x
  3. Step 3: Cross multiply
    118,422x = 263,088 × 263,088
  4. Step 4: Simplify right side
    118,422x = 69,215,295,744
  5. Step 5: Solve for x
    x = 69,215,295,744/118,422
  6. Step 6: Final answer
    x = 584,480.04

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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.