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Finding the Third Proportional to 93,486 and 200,256

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Solution

The third proportional to 93,486 and 200,256 is: 428,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,486 : 200,256 = 200,256 : x
  2. Step 2: Convert to fraction form
    93,486/200,256 = 200,256/x
  3. Step 3: Cross multiply
    93,486x = 200,256 × 200,256
  4. Step 4: Simplify right side
    93,486x = 40,102,465,536
  5. Step 5: Solve for x
    x = 40,102,465,536/93,486
  6. Step 6: Final answer
    x = 428,967.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.