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Finding the Third Proportional to 116,914 and 257,660

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Solution

The third proportional to 116,914 and 257,660 is: 567,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,914 : 257,660 = 257,660 : x
  2. Step 2: Convert to fraction form
    116,914/257,660 = 257,660/x
  3. Step 3: Cross multiply
    116,914x = 257,660 × 257,660
  4. Step 4: Simplify right side
    116,914x = 66,388,675,600
  5. Step 5: Solve for x
    x = 66,388,675,600/116,914
  6. Step 6: Final answer
    x = 567,841.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.