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Finding the Third Proportional to 194,916.38 and 236,469.38

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Solution

The third proportional to 194,916.38 and 236,469.38 is: 286,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,916.38 : 236,469.38 = 236,469.38 : x
  2. Step 2: Convert to fraction form
    194,916.38/236,469.38 = 236,469.38/x
  3. Step 3: Cross multiply
    194,916.38x = 236,469.38 × 236,469.38
  4. Step 4: Simplify right side
    194,916.38x = 55,917,765,312.89
  5. Step 5: Solve for x
    x = 55,917,765,312.89/194,916.38
  6. Step 6: Final answer
    x = 286,880.80

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.