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Finding the Third Proportional to 114,570 and 230,679

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Solution

The third proportional to 114,570 and 230,679 is: 464,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,570 : 230,679 = 230,679 : x
  2. Step 2: Convert to fraction form
    114,570/230,679 = 230,679/x
  3. Step 3: Cross multiply
    114,570x = 230,679 × 230,679
  4. Step 4: Simplify right side
    114,570x = 53,212,801,041
  5. Step 5: Solve for x
    x = 53,212,801,041/114,570
  6. Step 6: Final answer
    x = 464,456.67

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.