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Finding the Third Proportional to 96,462 and 208,520

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Solution

The third proportional to 96,462 and 208,520 is: 450,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,462 : 208,520 = 208,520 : x
  2. Step 2: Convert to fraction form
    96,462/208,520 = 208,520/x
  3. Step 3: Cross multiply
    96,462x = 208,520 × 208,520
  4. Step 4: Simplify right side
    96,462x = 43,480,590,400
  5. Step 5: Solve for x
    x = 43,480,590,400/96,462
  6. Step 6: Final answer
    x = 450,753.57

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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.