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Finding the Third Proportional to 105,043 and 224,852

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Solution

The third proportional to 105,043 and 224,852 is: 481,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043 : 224,852 = 224,852 : x
  2. Step 2: Convert to fraction form
    105,043/224,852 = 224,852/x
  3. Step 3: Cross multiply
    105,043x = 224,852 × 224,852
  4. Step 4: Simplify right side
    105,043x = 50,558,421,904
  5. Step 5: Solve for x
    x = 50,558,421,904/105,043
  6. Step 6: Final answer
    x = 481,311.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.