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Finding the Third Proportional to 194,952 and 418,914

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Solution

The third proportional to 194,952 and 418,914 is: 900,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,952 : 418,914 = 418,914 : x
  2. Step 2: Convert to fraction form
    194,952/418,914 = 418,914/x
  3. Step 3: Cross multiply
    194,952x = 418,914 × 418,914
  4. Step 4: Simplify right side
    194,952x = 175,488,939,396
  5. Step 5: Solve for x
    x = 175,488,939,396/194,952
  6. Step 6: Final answer
    x = 900,164.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.