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Finding the Third Proportional to 190,516 and 414,896

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Solution

The third proportional to 190,516 and 414,896 is: 903,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,516 : 414,896 = 414,896 : x
  2. Step 2: Convert to fraction form
    190,516/414,896 = 414,896/x
  3. Step 3: Cross multiply
    190,516x = 414,896 × 414,896
  4. Step 4: Simplify right side
    190,516x = 172,138,690,816
  5. Step 5: Solve for x
    x = 172,138,690,816/190,516
  6. Step 6: Final answer
    x = 903,539.29

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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.