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Finding the Third Proportional to 110,947 and 180,256

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Solution

The third proportional to 110,947 and 180,256 is: 292,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,947 : 180,256 = 180,256 : x
  2. Step 2: Convert to fraction form
    110,947/180,256 = 180,256/x
  3. Step 3: Cross multiply
    110,947x = 180,256 × 180,256
  4. Step 4: Simplify right side
    110,947x = 32,492,225,536
  5. Step 5: Solve for x
    x = 32,492,225,536/110,947
  6. Step 6: Final answer
    x = 292,862.59

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.