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Finding the Third Proportional to 213,648 and 330,708

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Solution

The third proportional to 213,648 and 330,708 is: 511,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,648 : 330,708 = 330,708 : x
  2. Step 2: Convert to fraction form
    213,648/330,708 = 330,708/x
  3. Step 3: Cross multiply
    213,648x = 330,708 × 330,708
  4. Step 4: Simplify right side
    213,648x = 109,367,781,264
  5. Step 5: Solve for x
    x = 109,367,781,264/213,648
  6. Step 6: Final answer
    x = 511,906.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.