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Finding the Third Proportional to 193,992 and 418,566

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Solution

The third proportional to 193,992 and 418,566 is: 903,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,992 : 418,566 = 418,566 : x
  2. Step 2: Convert to fraction form
    193,992/418,566 = 418,566/x
  3. Step 3: Cross multiply
    193,992x = 418,566 × 418,566
  4. Step 4: Simplify right side
    193,992x = 175,197,496,356
  5. Step 5: Solve for x
    x = 175,197,496,356/193,992
  6. Step 6: Final answer
    x = 903,117.12

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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.