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Finding the Third Proportional to 203,151 and 437,521

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Solution

The third proportional to 203,151 and 437,521 is: 942,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,151 : 437,521 = 437,521 : x
  2. Step 2: Convert to fraction form
    203,151/437,521 = 437,521/x
  3. Step 3: Cross multiply
    203,151x = 437,521 × 437,521
  4. Step 4: Simplify right side
    203,151x = 191,424,625,441
  5. Step 5: Solve for x
    x = 191,424,625,441/203,151
  6. Step 6: Final answer
    x = 942,277.54

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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.