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Finding the Third Proportional to 190,788 and 414,378

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Solution

The third proportional to 190,788 and 414,378 is: 899,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,788 : 414,378 = 414,378 : x
  2. Step 2: Convert to fraction form
    190,788/414,378 = 414,378/x
  3. Step 3: Cross multiply
    190,788x = 414,378 × 414,378
  4. Step 4: Simplify right side
    190,788x = 171,709,126,884
  5. Step 5: Solve for x
    x = 171,709,126,884/190,788
  6. Step 6: Final answer
    x = 899,999.62

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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.