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Finding the Third Proportional to 242,190 and 525,204

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Solution

The third proportional to 242,190 and 525,204 is: 1,138,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,190 : 525,204 = 525,204 : x
  2. Step 2: Convert to fraction form
    242,190/525,204 = 525,204/x
  3. Step 3: Cross multiply
    242,190x = 525,204 × 525,204
  4. Step 4: Simplify right side
    242,190x = 275,839,241,616
  5. Step 5: Solve for x
    x = 275,839,241,616/242,190
  6. Step 6: Final answer
    x = 1,138,937.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.