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Finding the Third Proportional to 194,118 and 411,564

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Solution

The third proportional to 194,118 and 411,564 is: 872,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,118 : 411,564 = 411,564 : x
  2. Step 2: Convert to fraction form
    194,118/411,564 = 411,564/x
  3. Step 3: Cross multiply
    194,118x = 411,564 × 411,564
  4. Step 4: Simplify right side
    194,118x = 169,384,926,096
  5. Step 5: Solve for x
    x = 169,384,926,096/194,118
  6. Step 6: Final answer
    x = 872,587.43

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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.