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Finding the Third Proportional to 190,800 and 414,402

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Solution

The third proportional to 190,800 and 414,402 is: 900,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,800 : 414,402 = 414,402 : x
  2. Step 2: Convert to fraction form
    190,800/414,402 = 414,402/x
  3. Step 3: Cross multiply
    190,800x = 414,402 × 414,402
  4. Step 4: Simplify right side
    190,800x = 171,729,017,604
  5. Step 5: Solve for x
    x = 171,729,017,604/190,800
  6. Step 6: Final answer
    x = 900,047.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.