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Finding the Third Proportional to 238,780 and 361,244

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Solution

The third proportional to 238,780 and 361,244 is: 546,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,780 : 361,244 = 361,244 : x
  2. Step 2: Convert to fraction form
    238,780/361,244 = 361,244/x
  3. Step 3: Cross multiply
    238,780x = 361,244 × 361,244
  4. Step 4: Simplify right side
    238,780x = 130,497,227,536
  5. Step 5: Solve for x
    x = 130,497,227,536/238,780
  6. Step 6: Final answer
    x = 546,516.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.