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Finding the Third Proportional to 103,733 and 227,553

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Solution

The third proportional to 103,733 and 227,553 is: 499,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,733 : 227,553 = 227,553 : x
  2. Step 2: Convert to fraction form
    103,733/227,553 = 227,553/x
  3. Step 3: Cross multiply
    103,733x = 227,553 × 227,553
  4. Step 4: Simplify right side
    103,733x = 51,780,367,809
  5. Step 5: Solve for x
    x = 51,780,367,809/103,733
  6. Step 6: Final answer
    x = 499,169.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.