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Finding the Third Proportional to 194,043.09 and 294,348.94

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Solution

The third proportional to 194,043.09 and 294,348.94 is: 446,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,043.09 : 294,348.94 = 294,348.94 : x
  2. Step 2: Convert to fraction form
    194,043.09/294,348.94 = 294,348.94/x
  3. Step 3: Cross multiply
    194,043.09x = 294,348.94 × 294,348.94
  4. Step 4: Simplify right side
    194,043.09x = 86,641,297,007.38
  5. Step 5: Solve for x
    x = 86,641,297,007.38/194,043.09
  6. Step 6: Final answer
    x = 446,505.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.