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Finding the Third Proportional to 202,960 and 436,156

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Solution

The third proportional to 202,960 and 436,156 is: 937,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960 : 436,156 = 436,156 : x
  2. Step 2: Convert to fraction form
    202,960/436,156 = 436,156/x
  3. Step 3: Cross multiply
    202,960x = 436,156 × 436,156
  4. Step 4: Simplify right side
    202,960x = 190,232,056,336
  5. Step 5: Solve for x
    x = 190,232,056,336/202,960
  6. Step 6: Final answer
    x = 937,288.41

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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.