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Finding the Third Proportional to 193,996 and 418,574

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Solution

The third proportional to 193,996 and 418,574 is: 903,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,996 : 418,574 = 418,574 : x
  2. Step 2: Convert to fraction form
    193,996/418,574 = 418,574/x
  3. Step 3: Cross multiply
    193,996x = 418,574 × 418,574
  4. Step 4: Simplify right side
    193,996x = 175,204,193,476
  5. Step 5: Solve for x
    x = 175,204,193,476/193,996
  6. Step 6: Final answer
    x = 903,133.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.