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Finding the Third Proportional to 116,684 and 255,962

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Solution

The third proportional to 116,684 and 255,962 is: 561,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,684 : 255,962 = 255,962 : x
  2. Step 2: Convert to fraction form
    116,684/255,962 = 255,962/x
  3. Step 3: Cross multiply
    116,684x = 255,962 × 255,962
  4. Step 4: Simplify right side
    116,684x = 65,516,545,444
  5. Step 5: Solve for x
    x = 65,516,545,444/116,684
  6. Step 6: Final answer
    x = 561,486.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.