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Finding the Third Proportional to 94,254 and 203,271

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Solution

The third proportional to 94,254 and 203,271 is: 438,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,254 : 203,271 = 203,271 : x
  2. Step 2: Convert to fraction form
    94,254/203,271 = 203,271/x
  3. Step 3: Cross multiply
    94,254x = 203,271 × 203,271
  4. Step 4: Simplify right side
    94,254x = 41,319,099,441
  5. Step 5: Solve for x
    x = 41,319,099,441/94,254
  6. Step 6: Final answer
    x = 438,380.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.