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Finding the Third Proportional to 190,178 and 408,436

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Solution

The third proportional to 190,178 and 408,436 is: 877,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,178 : 408,436 = 408,436 : x
  2. Step 2: Convert to fraction form
    190,178/408,436 = 408,436/x
  3. Step 3: Cross multiply
    190,178x = 408,436 × 408,436
  4. Step 4: Simplify right side
    190,178x = 166,819,966,096
  5. Step 5: Solve for x
    x = 166,819,966,096/190,178
  6. Step 6: Final answer
    x = 877,178.04

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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.