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Finding the Third Proportional to 94,276 and 203,314

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Solution

The third proportional to 94,276 and 203,314 is: 438,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,276 : 203,314 = 203,314 : x
  2. Step 2: Convert to fraction form
    94,276/203,314 = 203,314/x
  3. Step 3: Cross multiply
    94,276x = 203,314 × 203,314
  4. Step 4: Simplify right side
    94,276x = 41,336,582,596
  5. Step 5: Solve for x
    x = 41,336,582,596/94,276
  6. Step 6: Final answer
    x = 438,463.48

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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.