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Finding the Third Proportional to 185,059.69 and 401,830.88

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Solution

The third proportional to 185,059.69 and 401,830.88 is: 872,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,059.69 : 401,830.88 = 401,830.88 : x
  2. Step 2: Convert to fraction form
    185,059.69/401,830.88 = 401,830.88/x
  3. Step 3: Cross multiply
    185,059.69x = 401,830.88 × 401,830.88
  4. Step 4: Simplify right side
    185,059.69x = 161,468,052,103.27
  5. Step 5: Solve for x
    x = 161,468,052,103.27/185,059.69
  6. Step 6: Final answer
    x = 872,518.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.