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Finding the Third Proportional to 190,282 and 418,229

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Solution

The third proportional to 190,282 and 418,229 is: 919,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,282 : 418,229 = 418,229 : x
  2. Step 2: Convert to fraction form
    190,282/418,229 = 418,229/x
  3. Step 3: Cross multiply
    190,282x = 418,229 × 418,229
  4. Step 4: Simplify right side
    190,282x = 174,915,496,441
  5. Step 5: Solve for x
    x = 174,915,496,441/190,282
  6. Step 6: Final answer
    x = 919,243.53

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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.