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Finding the Third Proportional to 96,336 and 208,380

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Solution

The third proportional to 96,336 and 208,380 is: 450,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,336 : 208,380 = 208,380 : x
  2. Step 2: Convert to fraction form
    96,336/208,380 = 208,380/x
  3. Step 3: Cross multiply
    96,336x = 208,380 × 208,380
  4. Step 4: Simplify right side
    96,336x = 43,422,224,400
  5. Step 5: Solve for x
    x = 43,422,224,400/96,336
  6. Step 6: Final answer
    x = 450,737.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.