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Finding the Third Proportional to 194,225 and 415,435

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Solution

The third proportional to 194,225 and 415,435 is: 888,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,225 : 415,435 = 415,435 : x
  2. Step 2: Convert to fraction form
    194,225/415,435 = 415,435/x
  3. Step 3: Cross multiply
    194,225x = 415,435 × 415,435
  4. Step 4: Simplify right side
    194,225x = 172,586,239,225
  5. Step 5: Solve for x
    x = 172,586,239,225/194,225
  6. Step 6: Final answer
    x = 888,589.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.