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Finding the Third Proportional to 116,910 and 257,652

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Solution

The third proportional to 116,910 and 257,652 is: 567,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,910 : 257,652 = 257,652 : x
  2. Step 2: Convert to fraction form
    116,910/257,652 = 257,652/x
  3. Step 3: Cross multiply
    116,910x = 257,652 × 257,652
  4. Step 4: Simplify right side
    116,910x = 66,384,553,104
  5. Step 5: Solve for x
    x = 66,384,553,104/116,910
  6. Step 6: Final answer
    x = 567,826.13

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