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Finding the Third Proportional to 202,232 and 434,992

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Solution

The third proportional to 202,232 and 434,992 is: 935,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232 : 434,992 = 434,992 : x
  2. Step 2: Convert to fraction form
    202,232/434,992 = 434,992/x
  3. Step 3: Cross multiply
    202,232x = 434,992 × 434,992
  4. Step 4: Simplify right side
    202,232x = 189,218,040,064
  5. Step 5: Solve for x
    x = 189,218,040,064/202,232
  6. Step 6: Final answer
    x = 935,648.36

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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.