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Finding the Third Proportional to 201,184 and 418,896

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Solution

The third proportional to 201,184 and 418,896 is: 872,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,184 : 418,896 = 418,896 : x
  2. Step 2: Convert to fraction form
    201,184/418,896 = 418,896/x
  3. Step 3: Cross multiply
    201,184x = 418,896 × 418,896
  4. Step 4: Simplify right side
    201,184x = 175,473,858,816
  5. Step 5: Solve for x
    x = 175,473,858,816/201,184
  6. Step 6: Final answer
    x = 872,205.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.