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Finding the Third Proportional to 209,450.81 and 323,655.75

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Solution

The third proportional to 209,450.81 and 323,655.75 is: 500,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,450.81 : 323,655.75 = 323,655.75 : x
  2. Step 2: Convert to fraction form
    209,450.81/323,655.75 = 323,655.75/x
  3. Step 3: Cross multiply
    209,450.81x = 323,655.75 × 323,655.75
  4. Step 4: Simplify right side
    209,450.81x = 104,753,044,508.06
  5. Step 5: Solve for x
    x = 104,753,044,508.06/209,450.81
  6. Step 6: Final answer
    x = 500,131.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.