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Finding the Third Proportional to 104,258 and 223,278

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Solution

The third proportional to 104,258 and 223,278 is: 478,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,258 : 223,278 = 223,278 : x
  2. Step 2: Convert to fraction form
    104,258/223,278 = 223,278/x
  3. Step 3: Cross multiply
    104,258x = 223,278 × 223,278
  4. Step 4: Simplify right side
    104,258x = 49,853,065,284
  5. Step 5: Solve for x
    x = 49,853,065,284/104,258
  6. Step 6: Final answer
    x = 478,170.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.