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Finding the Third Proportional to 194,120 and 411,568

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Solution

The third proportional to 194,120 and 411,568 is: 872,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,120 : 411,568 = 411,568 : x
  2. Step 2: Convert to fraction form
    194,120/411,568 = 411,568/x
  3. Step 3: Cross multiply
    194,120x = 411,568 × 411,568
  4. Step 4: Simplify right side
    194,120x = 169,388,218,624
  5. Step 5: Solve for x
    x = 169,388,218,624/194,120
  6. Step 6: Final answer
    x = 872,595.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.