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Finding the Third Proportional to 205,598 and 328,077

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Solution

The third proportional to 205,598 and 328,077 is: 523,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,598 : 328,077 = 328,077 : x
  2. Step 2: Convert to fraction form
    205,598/328,077 = 328,077/x
  3. Step 3: Cross multiply
    205,598x = 328,077 × 328,077
  4. Step 4: Simplify right side
    205,598x = 107,634,517,929
  5. Step 5: Solve for x
    x = 107,634,517,929/205,598
  6. Step 6: Final answer
    x = 523,519.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.