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Finding the Third Proportional to 96,240 and 208,704

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Solution

The third proportional to 96,240 and 208,704 is: 452,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,240 : 208,704 = 208,704 : x
  2. Step 2: Convert to fraction form
    96,240/208,704 = 208,704/x
  3. Step 3: Cross multiply
    96,240x = 208,704 × 208,704
  4. Step 4: Simplify right side
    96,240x = 43,557,359,616
  5. Step 5: Solve for x
    x = 43,557,359,616/96,240
  6. Step 6: Final answer
    x = 452,591.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.