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Finding the Third Proportional to 203,014 and 437,132

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Solution

The third proportional to 203,014 and 437,132 is: 941,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,014 : 437,132 = 437,132 : x
  2. Step 2: Convert to fraction form
    203,014/437,132 = 437,132/x
  3. Step 3: Cross multiply
    203,014x = 437,132 × 437,132
  4. Step 4: Simplify right side
    203,014x = 191,084,385,424
  5. Step 5: Solve for x
    x = 191,084,385,424/203,014
  6. Step 6: Final answer
    x = 941,237.48

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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.