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Finding the Third Proportional to 101,749.50 and 206,374.50

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Solution

The third proportional to 101,749.50 and 206,374.50 is: 418,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,749.50 : 206,374.50 = 206,374.50 : x
  2. Step 2: Convert to fraction form
    101,749.50/206,374.50 = 206,374.50/x
  3. Step 3: Cross multiply
    101,749.50x = 206,374.50 × 206,374.50
  4. Step 4: Simplify right side
    101,749.50x = 42,590,434,250.25
  5. Step 5: Solve for x
    x = 42,590,434,250.25/101,749.50
  6. Step 6: Final answer
    x = 418,581.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.