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Finding the Third Proportional to 194,506.31 and 295,757.58

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Solution

The third proportional to 194,506.31 and 295,757.58 is: 449,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,506.31 : 295,757.58 = 295,757.58 : x
  2. Step 2: Convert to fraction form
    194,506.31/295,757.58 = 295,757.58/x
  3. Step 3: Cross multiply
    194,506.31x = 295,757.58 × 295,757.58
  4. Step 4: Simplify right side
    194,506.31x = 87,472,545,018.37
  5. Step 5: Solve for x
    x = 87,472,545,018.37/194,506.31
  6. Step 6: Final answer
    x = 449,715.71

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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.