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Finding the Third Proportional to 116,958 and 253,677

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Solution

The third proportional to 116,958 and 253,677 is: 550,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,958 : 253,677 = 253,677 : x
  2. Step 2: Convert to fraction form
    116,958/253,677 = 253,677/x
  3. Step 3: Cross multiply
    116,958x = 253,677 × 253,677
  4. Step 4: Simplify right side
    116,958x = 64,352,020,329
  5. Step 5: Solve for x
    x = 64,352,020,329/116,958
  6. Step 6: Final answer
    x = 550,214.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.