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Finding the Third Proportional to 96,476 and 200,340

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Solution

The third proportional to 96,476 and 200,340 is: 416,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,476 : 200,340 = 200,340 : x
  2. Step 2: Convert to fraction form
    96,476/200,340 = 200,340/x
  3. Step 3: Cross multiply
    96,476x = 200,340 × 200,340
  4. Step 4: Simplify right side
    96,476x = 40,136,115,600
  5. Step 5: Solve for x
    x = 40,136,115,600/96,476
  6. Step 6: Final answer
    x = 416,021.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.