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Finding the Third Proportional to 165,909.61 and 256,198.73

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Solution

The third proportional to 165,909.61 and 256,198.73 is: 395,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,909.61 : 256,198.73 = 256,198.73 : x
  2. Step 2: Convert to fraction form
    165,909.61/256,198.73 = 256,198.73/x
  3. Step 3: Cross multiply
    165,909.61x = 256,198.73 × 256,198.73
  4. Step 4: Simplify right side
    165,909.61x = 65,637,791,495.35
  5. Step 5: Solve for x
    x = 65,637,791,495.35/165,909.61
  6. Step 6: Final answer
    x = 395,623.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.