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Finding the Third Proportional to 102,501 and 222,489

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Solution

The third proportional to 102,501 and 222,489 is: 482,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,501 : 222,489 = 222,489 : x
  2. Step 2: Convert to fraction form
    102,501/222,489 = 222,489/x
  3. Step 3: Cross multiply
    102,501x = 222,489 × 222,489
  4. Step 4: Simplify right side
    102,501x = 49,501,355,121
  5. Step 5: Solve for x
    x = 49,501,355,121/102,501
  6. Step 6: Final answer
    x = 482,935.34

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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.