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Finding the Third Proportional to 116,638 and 251,207

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Solution

The third proportional to 116,638 and 251,207 is: 541,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,638 : 251,207 = 251,207 : x
  2. Step 2: Convert to fraction form
    116,638/251,207 = 251,207/x
  3. Step 3: Cross multiply
    116,638x = 251,207 × 251,207
  4. Step 4: Simplify right side
    116,638x = 63,104,956,849
  5. Step 5: Solve for x
    x = 63,104,956,849/116,638
  6. Step 6: Final answer
    x = 541,032.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.