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Finding the Third Proportional to 104,265 and 223,293

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Solution

The third proportional to 104,265 and 223,293 is: 478,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,265 : 223,293 = 223,293 : x
  2. Step 2: Convert to fraction form
    104,265/223,293 = 223,293/x
  3. Step 3: Cross multiply
    104,265x = 223,293 × 223,293
  4. Step 4: Simplify right side
    104,265x = 49,859,763,849
  5. Step 5: Solve for x
    x = 49,859,763,849/104,265
  6. Step 6: Final answer
    x = 478,202.31

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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.