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Finding the Third Proportional to 194,098 and 411,523

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Solution

The third proportional to 194,098 and 411,523 is: 872,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098 : 411,523 = 411,523 : x
  2. Step 2: Convert to fraction form
    194,098/411,523 = 411,523/x
  3. Step 3: Cross multiply
    194,098x = 411,523 × 411,523
  4. Step 4: Simplify right side
    194,098x = 169,351,179,529
  5. Step 5: Solve for x
    x = 169,351,179,529/194,098
  6. Step 6: Final answer
    x = 872,503.48

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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.