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Finding the Third Proportional to 117,967 and 254,704

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Solution

The third proportional to 117,967 and 254,704 is: 549,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,967 : 254,704 = 254,704 : x
  2. Step 2: Convert to fraction form
    117,967/254,704 = 254,704/x
  3. Step 3: Cross multiply
    117,967x = 254,704 × 254,704
  4. Step 4: Simplify right side
    117,967x = 64,874,127,616
  5. Step 5: Solve for x
    x = 64,874,127,616/117,967
  6. Step 6: Final answer
    x = 549,934.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.