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Finding the Third Proportional to 102,323.25 and 209,718

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Solution

The third proportional to 102,323.25 and 209,718 is: 429,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,323.25 : 209,718 = 209,718 : x
  2. Step 2: Convert to fraction form
    102,323.25/209,718 = 209,718/x
  3. Step 3: Cross multiply
    102,323.25x = 209,718 × 209,718
  4. Step 4: Simplify right side
    102,323.25x = 43,981,639,524
  5. Step 5: Solve for x
    x = 43,981,639,524/102,323.25
  6. Step 6: Final answer
    x = 429,830.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.