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Finding the Third Proportional to 119,668 and 243,260

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Solution

The third proportional to 119,668 and 243,260 is: 494,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668 : 243,260 = 243,260 : x
  2. Step 2: Convert to fraction form
    119,668/243,260 = 243,260/x
  3. Step 3: Cross multiply
    119,668x = 243,260 × 243,260
  4. Step 4: Simplify right side
    119,668x = 59,175,427,600
  5. Step 5: Solve for x
    x = 59,175,427,600/119,668
  6. Step 6: Final answer
    x = 494,496.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.