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Finding the Third Proportional to 94,416 and 206,256

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Solution

The third proportional to 94,416 and 206,256 is: 450,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,416 : 206,256 = 206,256 : x
  2. Step 2: Convert to fraction form
    94,416/206,256 = 206,256/x
  3. Step 3: Cross multiply
    94,416x = 206,256 × 206,256
  4. Step 4: Simplify right side
    94,416x = 42,541,537,536
  5. Step 5: Solve for x
    x = 42,541,537,536/94,416
  6. Step 6: Final answer
    x = 450,575.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.