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Finding the Third Proportional to 94,376 and 203,512

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Solution

The third proportional to 94,376 and 203,512 is: 438,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,376 : 203,512 = 203,512 : x
  2. Step 2: Convert to fraction form
    94,376/203,512 = 203,512/x
  3. Step 3: Cross multiply
    94,376x = 203,512 × 203,512
  4. Step 4: Simplify right side
    94,376x = 41,417,134,144
  5. Step 5: Solve for x
    x = 41,417,134,144/94,376
  6. Step 6: Final answer
    x = 438,852.40

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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.