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Finding the Third Proportional to 190,294 and 418,252

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Solution

The third proportional to 190,294 and 418,252 is: 919,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,294 : 418,252 = 418,252 : x
  2. Step 2: Convert to fraction form
    190,294/418,252 = 418,252/x
  3. Step 3: Cross multiply
    190,294x = 418,252 × 418,252
  4. Step 4: Simplify right side
    190,294x = 174,934,735,504
  5. Step 5: Solve for x
    x = 174,934,735,504/190,294
  6. Step 6: Final answer
    x = 919,286.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.