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Finding the Third Proportional to 103,686 and 223,309

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Solution

The third proportional to 103,686 and 223,309 is: 480,941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686 : 223,309 = 223,309 : x
  2. Step 2: Convert to fraction form
    103,686/223,309 = 223,309/x
  3. Step 3: Cross multiply
    103,686x = 223,309 × 223,309
  4. Step 4: Simplify right side
    103,686x = 49,866,909,481
  5. Step 5: Solve for x
    x = 49,866,909,481/103,686
  6. Step 6: Final answer
    x = 480,941.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.