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Finding the Third Proportional to 102,705 and 222,258

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Solution

The third proportional to 102,705 and 222,258 is: 480,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705 : 222,258 = 222,258 : x
  2. Step 2: Convert to fraction form
    102,705/222,258 = 222,258/x
  3. Step 3: Cross multiply
    102,705x = 222,258 × 222,258
  4. Step 4: Simplify right side
    102,705x = 49,398,618,564
  5. Step 5: Solve for x
    x = 49,398,618,564/102,705
  6. Step 6: Final answer
    x = 480,975.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.