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Finding the Third Proportional to 190,135 and 410,414

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Solution

The third proportional to 190,135 and 410,414 is: 885,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,135 : 410,414 = 410,414 : x
  2. Step 2: Convert to fraction form
    190,135/410,414 = 410,414/x
  3. Step 3: Cross multiply
    190,135x = 410,414 × 410,414
  4. Step 4: Simplify right side
    190,135x = 168,439,651,396
  5. Step 5: Solve for x
    x = 168,439,651,396/190,135
  6. Step 6: Final answer
    x = 885,895.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.