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Finding the Third Proportional to 209,973.94 and 323,178.75

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Solution

The third proportional to 209,973.94 and 323,178.75 is: 497,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,973.94 : 323,178.75 = 323,178.75 : x
  2. Step 2: Convert to fraction form
    209,973.94/323,178.75 = 323,178.75/x
  3. Step 3: Cross multiply
    209,973.94x = 323,178.75 × 323,178.75
  4. Step 4: Simplify right side
    209,973.94x = 104,444,504,451.56
  5. Step 5: Solve for x
    x = 104,444,504,451.56/209,973.94
  6. Step 6: Final answer
    x = 497,416.52

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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.