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Finding the Third Proportional to 117,976 and 254,720

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Solution

The third proportional to 117,976 and 254,720 is: 549,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,976 : 254,720 = 254,720 : x
  2. Step 2: Convert to fraction form
    117,976/254,720 = 254,720/x
  3. Step 3: Cross multiply
    117,976x = 254,720 × 254,720
  4. Step 4: Simplify right side
    117,976x = 64,882,278,400
  5. Step 5: Solve for x
    x = 64,882,278,400/117,976
  6. Step 6: Final answer
    x = 549,961.67

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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.