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Finding the Third Proportional to 203,953 and 437,430

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Solution

The third proportional to 203,953 and 437,430 is: 938,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,953 : 437,430 = 437,430 : x
  2. Step 2: Convert to fraction form
    203,953/437,430 = 437,430/x
  3. Step 3: Cross multiply
    203,953x = 437,430 × 437,430
  4. Step 4: Simplify right side
    203,953x = 191,345,004,900
  5. Step 5: Solve for x
    x = 191,345,004,900/203,953
  6. Step 6: Final answer
    x = 938,181.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.