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Finding the Third Proportional to 205,926 and 328,873

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Solution

The third proportional to 205,926 and 328,873 is: 525,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,926 : 328,873 = 328,873 : x
  2. Step 2: Convert to fraction form
    205,926/328,873 = 328,873/x
  3. Step 3: Cross multiply
    205,926x = 328,873 × 328,873
  4. Step 4: Simplify right side
    205,926x = 108,157,450,129
  5. Step 5: Solve for x
    x = 108,157,450,129/205,926
  6. Step 6: Final answer
    x = 525,224.84

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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.