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Finding the Third Proportional to 130,041 and 244,530

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Solution

The third proportional to 130,041 and 244,530 is: 459,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,041 : 244,530 = 244,530 : x
  2. Step 2: Convert to fraction form
    130,041/244,530 = 244,530/x
  3. Step 3: Cross multiply
    130,041x = 244,530 × 244,530
  4. Step 4: Simplify right side
    130,041x = 59,794,920,900
  5. Step 5: Solve for x
    x = 59,794,920,900/130,041
  6. Step 6: Final answer
    x = 459,815.91

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.