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Finding the Third Proportional to 96,414 and 208,425

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Solution

The third proportional to 96,414 and 208,425 is: 450,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,414 : 208,425 = 208,425 : x
  2. Step 2: Convert to fraction form
    96,414/208,425 = 208,425/x
  3. Step 3: Cross multiply
    96,414x = 208,425 × 208,425
  4. Step 4: Simplify right side
    96,414x = 43,440,980,625
  5. Step 5: Solve for x
    x = 43,440,980,625/96,414
  6. Step 6: Final answer
    x = 450,567.14

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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.