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Finding the Third Proportional to 102,494 and 220,468

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Solution

The third proportional to 102,494 and 220,468 is: 474,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,494 : 220,468 = 220,468 : x
  2. Step 2: Convert to fraction form
    102,494/220,468 = 220,468/x
  3. Step 3: Cross multiply
    102,494x = 220,468 × 220,468
  4. Step 4: Simplify right side
    102,494x = 48,606,139,024
  5. Step 5: Solve for x
    x = 48,606,139,024/102,494
  6. Step 6: Final answer
    x = 474,233.99

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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.