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Finding the Third Proportional to 205,664 and 417,052

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Solution

The third proportional to 205,664 and 417,052 is: 845,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,664 : 417,052 = 417,052 : x
  2. Step 2: Convert to fraction form
    205,664/417,052 = 417,052/x
  3. Step 3: Cross multiply
    205,664x = 417,052 × 417,052
  4. Step 4: Simplify right side
    205,664x = 173,932,370,704
  5. Step 5: Solve for x
    x = 173,932,370,704/205,664
  6. Step 6: Final answer
    x = 845,711.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.