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Finding the Third Proportional to 102,258 and 223,110

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Solution

The third proportional to 102,258 and 223,110 is: 486,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,258 : 223,110 = 223,110 : x
  2. Step 2: Convert to fraction form
    102,258/223,110 = 223,110/x
  3. Step 3: Cross multiply
    102,258x = 223,110 × 223,110
  4. Step 4: Simplify right side
    102,258x = 49,778,072,100
  5. Step 5: Solve for x
    x = 49,778,072,100/102,258
  6. Step 6: Final answer
    x = 486,789.02

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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.