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Finding the Third Proportional to 193,905 and 418,943.25

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Solution

The third proportional to 193,905 and 418,943.25 is: 905,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,905 : 418,943.25 = 418,943.25 : x
  2. Step 2: Convert to fraction form
    193,905/418,943.25 = 418,943.25/x
  3. Step 3: Cross multiply
    193,905x = 418,943.25 × 418,943.25
  4. Step 4: Simplify right side
    193,905x = 175,513,446,720.56
  5. Step 5: Solve for x
    x = 175,513,446,720.56/193,905
  6. Step 6: Final answer
    x = 905,151.73

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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.