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Finding the Third Proportional to 102,369 and 222,423

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Solution

The third proportional to 102,369 and 222,423 is: 483,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,369 : 222,423 = 222,423 : x
  2. Step 2: Convert to fraction form
    102,369/222,423 = 222,423/x
  3. Step 3: Cross multiply
    102,369x = 222,423 × 222,423
  4. Step 4: Simplify right side
    102,369x = 49,471,990,929
  5. Step 5: Solve for x
    x = 49,471,990,929/102,369
  6. Step 6: Final answer
    x = 483,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.