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Finding the Third Proportional to 116,936 and 256,887

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Solution

The third proportional to 116,936 and 256,887 is: 564,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,936 : 256,887 = 256,887 : x
  2. Step 2: Convert to fraction form
    116,936/256,887 = 256,887/x
  3. Step 3: Cross multiply
    116,936x = 256,887 × 256,887
  4. Step 4: Simplify right side
    116,936x = 65,990,930,769
  5. Step 5: Solve for x
    x = 65,990,930,769/116,936
  6. Step 6: Final answer
    x = 564,333.74

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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.