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Finding the Third Proportional to 209,631 and 332,104.50

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Solution

The third proportional to 209,631 and 332,104.50 is: 526,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,631 : 332,104.50 = 332,104.50 : x
  2. Step 2: Convert to fraction form
    209,631/332,104.50 = 332,104.50/x
  3. Step 3: Cross multiply
    209,631x = 332,104.50 × 332,104.50
  4. Step 4: Simplify right side
    209,631x = 110,293,398,920.25
  5. Step 5: Solve for x
    x = 110,293,398,920.25/209,631
  6. Step 6: Final answer
    x = 526,131.15

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.