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Finding the Third Proportional to 95,530 and 202,440

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Solution

The third proportional to 95,530 and 202,440 is: 428,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,530 : 202,440 = 202,440 : x
  2. Step 2: Convert to fraction form
    95,530/202,440 = 202,440/x
  3. Step 3: Cross multiply
    95,530x = 202,440 × 202,440
  4. Step 4: Simplify right side
    95,530x = 40,981,953,600
  5. Step 5: Solve for x
    x = 40,981,953,600/95,530
  6. Step 6: Final answer
    x = 428,995.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.