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Finding the Third Proportional to 273,250 and 418,167

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Solution

The third proportional to 273,250 and 418,167 is: 639,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,250 : 418,167 = 418,167 : x
  2. Step 2: Convert to fraction form
    273,250/418,167 = 418,167/x
  3. Step 3: Cross multiply
    273,250x = 418,167 × 418,167
  4. Step 4: Simplify right side
    273,250x = 174,863,639,889
  5. Step 5: Solve for x
    x = 174,863,639,889/273,250
  6. Step 6: Final answer
    x = 639,940.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.