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Finding the Third Proportional to 190,468 and 414,800

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Solution

The third proportional to 190,468 and 414,800 is: 903,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,468 : 414,800 = 414,800 : x
  2. Step 2: Convert to fraction form
    190,468/414,800 = 414,800/x
  3. Step 3: Cross multiply
    190,468x = 414,800 × 414,800
  4. Step 4: Simplify right side
    190,468x = 172,059,040,000
  5. Step 5: Solve for x
    x = 172,059,040,000/190,468
  6. Step 6: Final answer
    x = 903,348.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.