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Finding the Third Proportional to 203,956 and 432,225

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Solution

The third proportional to 203,956 and 432,225 is: 915,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,956 : 432,225 = 432,225 : x
  2. Step 2: Convert to fraction form
    203,956/432,225 = 432,225/x
  3. Step 3: Cross multiply
    203,956x = 432,225 × 432,225
  4. Step 4: Simplify right side
    203,956x = 186,818,450,625
  5. Step 5: Solve for x
    x = 186,818,450,625/203,956
  6. Step 6: Final answer
    x = 915,974.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.