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Finding the Third Proportional to 116,678 and 255,955

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Solution

The third proportional to 116,678 and 255,955 is: 561,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,678 : 255,955 = 255,955 : x
  2. Step 2: Convert to fraction form
    116,678/255,955 = 255,955/x
  3. Step 3: Cross multiply
    116,678x = 255,955 × 255,955
  4. Step 4: Simplify right side
    116,678x = 65,512,962,025
  5. Step 5: Solve for x
    x = 65,512,962,025/116,678
  6. Step 6: Final answer
    x = 561,485.13

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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.