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Finding the Third Proportional to 113,498 and 244,318

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Solution

The third proportional to 113,498 and 244,318 is: 525,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,498 : 244,318 = 244,318 : x
  2. Step 2: Convert to fraction form
    113,498/244,318 = 244,318/x
  3. Step 3: Cross multiply
    113,498x = 244,318 × 244,318
  4. Step 4: Simplify right side
    113,498x = 59,691,285,124
  5. Step 5: Solve for x
    x = 59,691,285,124/113,498
  6. Step 6: Final answer
    x = 525,923.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.