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Finding the Third Proportional to 193,087.13 and 418,338

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Solution

The third proportional to 193,087.13 and 418,338 is: 906,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,087.13 : 418,338 = 418,338 : x
  2. Step 2: Convert to fraction form
    193,087.13/418,338 = 418,338/x
  3. Step 3: Cross multiply
    193,087.13x = 418,338 × 418,338
  4. Step 4: Simplify right side
    193,087.13x = 175,006,682,244
  5. Step 5: Solve for x
    x = 175,006,682,244/193,087.13
  6. Step 6: Final answer
    x = 906,361.22

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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.