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Finding the Third Proportional to 205,263.28 and 326,866.64

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Solution

The third proportional to 205,263.28 and 326,866.64 is: 520,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,263.28 : 326,866.64 = 326,866.64 : x
  2. Step 2: Convert to fraction form
    205,263.28/326,866.64 = 326,866.64/x
  3. Step 3: Cross multiply
    205,263.28x = 326,866.64 × 326,866.64
  4. Step 4: Simplify right side
    205,263.28x = 106,841,800,753.47
  5. Step 5: Solve for x
    x = 106,841,800,753.47/205,263.28
  6. Step 6: Final answer
    x = 520,511.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.