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Finding the Third Proportional to 94,340 and 203,432

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Solution

The third proportional to 94,340 and 203,432 is: 438,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,340 : 203,432 = 203,432 : x
  2. Step 2: Convert to fraction form
    94,340/203,432 = 203,432/x
  3. Step 3: Cross multiply
    94,340x = 203,432 × 203,432
  4. Step 4: Simplify right side
    94,340x = 41,384,578,624
  5. Step 5: Solve for x
    x = 41,384,578,624/94,340
  6. Step 6: Final answer
    x = 438,674.78

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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.