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Finding the Third Proportional to 116,583 and 251,775

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Solution

The third proportional to 116,583 and 251,775 is: 543,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,583 : 251,775 = 251,775 : x
  2. Step 2: Convert to fraction form
    116,583/251,775 = 251,775/x
  3. Step 3: Cross multiply
    116,583x = 251,775 × 251,775
  4. Step 4: Simplify right side
    116,583x = 63,390,650,625
  5. Step 5: Solve for x
    x = 63,390,650,625/116,583
  6. Step 6: Final answer
    x = 543,738.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.