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Finding the Third Proportional to 194,680 and 414,448

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Solution

The third proportional to 194,680 and 414,448 is: 882,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,680 : 414,448 = 414,448 : x
  2. Step 2: Convert to fraction form
    194,680/414,448 = 414,448/x
  3. Step 3: Cross multiply
    194,680x = 414,448 × 414,448
  4. Step 4: Simplify right side
    194,680x = 171,767,144,704
  5. Step 5: Solve for x
    x = 171,767,144,704/194,680
  6. Step 6: Final answer
    x = 882,305.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.