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Finding the Third Proportional to 209,668 and 332,142

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Solution

The third proportional to 209,668 and 332,142 is: 526,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,668 : 332,142 = 332,142 : x
  2. Step 2: Convert to fraction form
    209,668/332,142 = 332,142/x
  3. Step 3: Cross multiply
    209,668x = 332,142 × 332,142
  4. Step 4: Simplify right side
    209,668x = 110,318,308,164
  5. Step 5: Solve for x
    x = 110,318,308,164/209,668
  6. Step 6: Final answer
    x = 526,157.11

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Why These Related Problems?

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