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Finding the Third Proportional to 201,743 and 434,608

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Solution

The third proportional to 201,743 and 434,608 is: 936,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,743 : 434,608 = 434,608 : x
  2. Step 2: Convert to fraction form
    201,743/434,608 = 434,608/x
  3. Step 3: Cross multiply
    201,743x = 434,608 × 434,608
  4. Step 4: Simplify right side
    201,743x = 188,884,113,664
  5. Step 5: Solve for x
    x = 188,884,113,664/201,743
  6. Step 6: Final answer
    x = 936,261.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.