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Finding the Third Proportional to 191,241 and 420,228

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Solution

The third proportional to 191,241 and 420,228 is: 923,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,241 : 420,228 = 420,228 : x
  2. Step 2: Convert to fraction form
    191,241/420,228 = 420,228/x
  3. Step 3: Cross multiply
    191,241x = 420,228 × 420,228
  4. Step 4: Simplify right side
    191,241x = 176,591,571,984
  5. Step 5: Solve for x
    x = 176,591,571,984/191,241
  6. Step 6: Final answer
    x = 923,398.08

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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.