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Finding the Third Proportional to 149,270 and 223,813

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Solution

The third proportional to 149,270 and 223,813 is: 335,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,270 : 223,813 = 223,813 : x
  2. Step 2: Convert to fraction form
    149,270/223,813 = 223,813/x
  3. Step 3: Cross multiply
    149,270x = 223,813 × 223,813
  4. Step 4: Simplify right side
    149,270x = 50,092,258,969
  5. Step 5: Solve for x
    x = 50,092,258,969/149,270
  6. Step 6: Final answer
    x = 335,581.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.