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Finding the Third Proportional to 190,096.50 and 408,273

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Solution

The third proportional to 190,096.50 and 408,273 is: 876,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,096.50 : 408,273 = 408,273 : x
  2. Step 2: Convert to fraction form
    190,096.50/408,273 = 408,273/x
  3. Step 3: Cross multiply
    190,096.50x = 408,273 × 408,273
  4. Step 4: Simplify right side
    190,096.50x = 166,686,842,529
  5. Step 5: Solve for x
    x = 166,686,842,529/190,096.50
  6. Step 6: Final answer
    x = 876,853.82

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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.