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Finding the Third Proportional to 119,670 and 243,264

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Solution

The third proportional to 119,670 and 243,264 is: 494,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,670 : 243,264 = 243,264 : x
  2. Step 2: Convert to fraction form
    119,670/243,264 = 243,264/x
  3. Step 3: Cross multiply
    119,670x = 243,264 × 243,264
  4. Step 4: Simplify right side
    119,670x = 59,177,373,696
  5. Step 5: Solve for x
    x = 59,177,373,696/119,670
  6. Step 6: Final answer
    x = 494,504.67

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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.