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Finding the Third Proportional to 192,996 and 418,998

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Solution

The third proportional to 192,996 and 418,998 is: 909,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,996 : 418,998 = 418,998 : x
  2. Step 2: Convert to fraction form
    192,996/418,998 = 418,998/x
  3. Step 3: Cross multiply
    192,996x = 418,998 × 418,998
  4. Step 4: Simplify right side
    192,996x = 175,559,324,004
  5. Step 5: Solve for x
    x = 175,559,324,004/192,996
  6. Step 6: Final answer
    x = 909,652.66

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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.