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Finding the Third Proportional to 119,668.50 and 243,261

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Solution

The third proportional to 119,668.50 and 243,261 is: 494,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668.50 : 243,261 = 243,261 : x
  2. Step 2: Convert to fraction form
    119,668.50/243,261 = 243,261/x
  3. Step 3: Cross multiply
    119,668.50x = 243,261 × 243,261
  4. Step 4: Simplify right side
    119,668.50x = 59,175,914,121
  5. Step 5: Solve for x
    x = 59,175,914,121/119,668.50
  6. Step 6: Final answer
    x = 494,498.67

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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.