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Finding the Third Proportional to 117,416 and 219,256

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Solution

The third proportional to 117,416 and 219,256 is: 409,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,416 : 219,256 = 219,256 : x
  2. Step 2: Convert to fraction form
    117,416/219,256 = 219,256/x
  3. Step 3: Cross multiply
    117,416x = 219,256 × 219,256
  4. Step 4: Simplify right side
    117,416x = 48,073,193,536
  5. Step 5: Solve for x
    x = 48,073,193,536/117,416
  6. Step 6: Final answer
    x = 409,426.26

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.