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Finding the Third Proportional to 102,246 and 223,082

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Solution

The third proportional to 102,246 and 223,082 is: 486,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246 : 223,082 = 223,082 : x
  2. Step 2: Convert to fraction form
    102,246/223,082 = 223,082/x
  3. Step 3: Cross multiply
    102,246x = 223,082 × 223,082
  4. Step 4: Simplify right side
    102,246x = 49,765,578,724
  5. Step 5: Solve for x
    x = 49,765,578,724/102,246
  6. Step 6: Final answer
    x = 486,723.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.