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Finding the Third Proportional to 117,628 and 255,775

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Solution

The third proportional to 117,628 and 255,775 is: 556,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,628 : 255,775 = 255,775 : x
  2. Step 2: Convert to fraction form
    117,628/255,775 = 255,775/x
  3. Step 3: Cross multiply
    117,628x = 255,775 × 255,775
  4. Step 4: Simplify right side
    117,628x = 65,420,850,625
  5. Step 5: Solve for x
    x = 65,420,850,625/117,628
  6. Step 6: Final answer
    x = 556,167.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.